<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-4403786495707815275</id><updated>2024-11-01T01:13:01.427-07:00</updated><category term="Binary Numbers"/><category term="uses of binary number"/><category term="Defination"/><category term="INDEPTH understanding"/><category term="binary number table"/><category term="representation"/><title type='text'>Binary number,binary Numbers,binary number system, binary number converter,negative binary number</title><subtitle type='html'>Binary number,binary Numbers,binary number system,binary number converter,convert number to binary, binary number chart,binary number conversion,number to binary converter,binary number calculator,binary number translator,binary number table,what is binary number system,binary number system in c(computer,negative binary number and all about binary number.</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>11</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-3369458494124197602</id><published>2012-04-28T10:41:00.001-07:00</published><updated>2012-04-28T10:41:45.701-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="uses of binary number"/><title type='text'>Binary Watches</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
It is interesting to note the fashion trends in terms of the technology that surrounds us. For individuals, educated in the technological and communications world, there are some very fashionable items that are really interesting. If you have had the opportunity to see someone using a binary watch, you will find these machines very interesting.&amp;nbsp;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOOTFgFjzyQTrrVaGuIQlS0hEq-1VjjwnK9KfFMkaiQ4jTJoXfAdC5ieL5SMh6lwaK2i1quYxmh1VX5dOvL1ejp0wqlwWLHW020X7AjrBr0M6-lJO1j38qm2Y1rvHhspwaMyaNfN6Op9hS/s1600/Binary+Watches.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOOTFgFjzyQTrrVaGuIQlS0hEq-1VjjwnK9KfFMkaiQ4jTJoXfAdC5ieL5SMh6lwaK2i1quYxmh1VX5dOvL1ejp0wqlwWLHW020X7AjrBr0M6-lJO1j38qm2Y1rvHhspwaMyaNfN6Op9hS/s320/Binary+Watches.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Binary Watches&lt;/td&gt;&lt;/tr&gt;
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&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;/div&gt;
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Technology itself, is nothing new, it must be remembered that these watches, are binary based; status can be on or off, interpreted by numbers these are in State 0 or 1; zero representing Off and one representing On. Rather, the people close to the current technology such as the Internet, or that understands the world of electronic information, finds these ornaments, ideal for wearing and stay contemporary.&lt;br /&gt;&lt;br /&gt;Without a doubt people who feel most connected with such technology and also look for fashion, find these gadgets very attractive. The fact is that these watches are not difficult to understand and second, due to its innovative models, makes them extremely attractive pieces to ware on any occasion. Furthermore, you will definitely be asked by more than one person whether what you carry in your wrist is a watch or what?.&lt;br /&gt;&lt;br /&gt;Contrary to what you might think, the binary system, or base two, is a very simple system, which is built with lights (LED. Its operation, is simply based the states of the lights, with base two numbers (binary system) already included (to avoid having to calculate the base two number, the full number is put on top of the light), thus simplifying their understanding. These lights are deployed in two rows, one at the top and one at the bottom. The top represents the hours and the lower part, represents minutes. The lights at the top, represent the hours, if there are more than one light in an On state the numbers are added the hours are obtained. Likewise below if the lights are on these are added and the minutes are obtained.&lt;br /&gt;&lt;br /&gt;There are several existing models, and for all tastes. It is worthwhile to search for these watches, if you are really interested, either online or in watch stores. If you are truly committed to staying fashionable, these articles are guaranteed to help you in your goal. There is a wide range of pricing available on these watches for you to explore. So do not be afraid of technology, because you will be surprised how simple it is once you understand its basic principles.&lt;/div&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/3369458494124197602/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/04/binary-watches.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/3369458494124197602'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/3369458494124197602'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/04/binary-watches.html' title='Binary Watches'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOOTFgFjzyQTrrVaGuIQlS0hEq-1VjjwnK9KfFMkaiQ4jTJoXfAdC5ieL5SMh6lwaK2i1quYxmh1VX5dOvL1ejp0wqlwWLHW020X7AjrBr0M6-lJO1j38qm2Y1rvHhspwaMyaNfN6Op9hS/s72-c/Binary+Watches.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-478919594375246170</id><published>2012-04-28T10:39:00.001-07:00</published><updated>2012-04-28T10:39:41.720-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="uses of binary number"/><title type='text'>Using the Number System to Improve Your Memory</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
Our world is made up of numbers such as phone numbers, birthdays, street numbers, area codes, license numbers etc. However, if there isn&#39;t any help, then these numbers become very difficult to remember because they are tough to associate.&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinsJcDyoI7QyqJ6zY_aLfZNJ8dMaOoTosg-hijS2eMZf3V-vGvRZuDzgpq7z5t_HEtc6BHH-HhzURxK_nsdxs9rbOpBQE1lF0xO9FQFZGcNSAiGV9lOjHa2xokiEPVmpP_q46EOdEfX-n2/s1600/Number+System+to+Improve+Your+Memory.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinsJcDyoI7QyqJ6zY_aLfZNJ8dMaOoTosg-hijS2eMZf3V-vGvRZuDzgpq7z5t_HEtc6BHH-HhzURxK_nsdxs9rbOpBQE1lF0xO9FQFZGcNSAiGV9lOjHa2xokiEPVmpP_q46EOdEfX-n2/s320/Number+System+to+Improve+Your+Memory.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Using the Number System to Improve Your Memory&lt;/td&gt;&lt;/tr&gt;
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&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;/div&gt;
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The brain is trained to process information visually and not numerically. You would find it simpler to imagine a monkey eating a banana, than picture the third digit of the equivalent of the pi. Then again, did you know it was possible to convert a number into words, or even phrases that represent a mental image?&lt;br /&gt;&lt;br /&gt;It is actually possible to allocate the numbers 0 to 9 for a consonant letter. When we need to recall number digits, we first convert the digits to letters, add proper vowels and convert it into words. If necessary, these words can be further converted to phrases. The words/phrases can help you form associations easier than trying to remember the digits.&lt;br /&gt;&lt;br /&gt;To make it simpler, let us take an example. Say you want to remember that the Bible consists of 39 books. If you convert 3 and 9 into M and P, then insert a vowel such as A between the two consonants to create a word MAP. Then you can create an image of ta big MAP such as Egypt, Israel etc. Later, when you need to remember the number of books in the Old Testament, you can remember the image of the MAP, remove the vowel A and then translate the remaining consonants in to numbers which is 3 and 9 - 39. Now you have remembered it successfully. This technique works because of image mapping.&lt;br /&gt;&lt;br /&gt;What makes you know that M is denoted by 3 and P by 9? Maybe, it will be simple if you memorize the below table of consonants and digits. Once this sticks in your mind, it will help you.&lt;br /&gt;&lt;br /&gt;Digit Vowel Mnemonic:&lt;br /&gt;&lt;br /&gt;0 Z Zero starts with Z, 1 T, D T has a single down stroke, 2 N N has two down strokes, 3 M M has three down strokes, 4 R &quot;four&quot; ends in letter R, 5 L Roman Numeral for 50 is L, 6 J, SH, CH Turned J looks 6, 7 K, G (harsh) View K as combined 7, 8 F, V Cursive small F has two loops that looks like 8, and 9 P, B Reversed P is similar to 9.&lt;br /&gt;&lt;br /&gt;This technique is very popular and used by many experts that use mnemonics. This technique has been maximized so that it will be simple to learn and utilize. Also, note that the paired letters have been placed together in the group as they are phonetically similar.&lt;br /&gt;&lt;br /&gt;Below I have mentioned some tips on using the system:&lt;br /&gt;&lt;br /&gt;a) This system is generally phonetic. For example, term cough should be envisaged as KoF and translate into 7 and 8 or 78. If you want to convert GEM, it should be JEM, for 6 and 3.&lt;br /&gt;&lt;br /&gt;b) Doubled letters are not accounted. As an example, Batter translates into B, T, and R. the extra T is not taken into account.&lt;br /&gt;&lt;br /&gt;c) When you want to create words from consonants, clear nouns usually work effectively, rather than passive verbs.&lt;/div&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/478919594375246170/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/04/using-number-system-to-improve-your.html#comment-form' title='2 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/478919594375246170'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/478919594375246170'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/04/using-number-system-to-improve-your.html' title='Using the Number System to Improve Your Memory'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinsJcDyoI7QyqJ6zY_aLfZNJ8dMaOoTosg-hijS2eMZf3V-vGvRZuDzgpq7z5t_HEtc6BHH-HhzURxK_nsdxs9rbOpBQE1lF0xO9FQFZGcNSAiGV9lOjHa2xokiEPVmpP_q46EOdEfX-n2/s72-c/Number+System+to+Improve+Your+Memory.jpg" height="72" width="72"/><thr:total>2</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-6322631093383538981</id><published>2012-03-26T11:49:00.000-07:00</published><updated>2012-03-26T11:49:53.453-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Binary Numbers"/><title type='text'>Binary Number Translators</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;Binary number&amp;nbsp;translators&amp;nbsp;are most commonly associated with Computer.To quickly refresh our memory on the subject - what we write our programs in is a High Level Language, whereas what a computer can understand is a Machine Language. We thus need to convert the High Level (or Assembly language) Code to a computer readable form. This is where a Translator fits in.&lt;div&gt;&lt;br /&gt;
&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrdzWrJ7R0iziMpzZBjeepmZ3G0ZgD6bT5wWzid-dpznWMGj7q016MyXLh1yukceXNpQnaswg5WS3RXodgaAEqEPyBL6-Ji7draHtd7Xsq2cpgza8hyphenhyphen6p5B-SFV16J5-rw19_ZlldCZY1S/s1600/uqbtTranslators.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;212&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrdzWrJ7R0iziMpzZBjeepmZ3G0ZgD6bT5wWzid-dpznWMGj7q016MyXLh1yukceXNpQnaswg5WS3RXodgaAEqEPyBL6-Ji7draHtd7Xsq2cpgza8hyphenhyphen6p5B-SFV16J5-rw19_ZlldCZY1S/s320/uqbtTranslators.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Binary Number Translators&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div&gt;&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;i&gt;&lt;b&gt;Translators&lt;/b&gt;&lt;/i&gt; are programs that convert code written in assembly language or hll to machine language and reassemble the output back to assembly or high level language. Translators are of three types: &lt;br /&gt;
&lt;br /&gt;
Assembler: translate programs written in assembly language to machine language and accordingly, the output back to assembly language. They convert mnemonics into binary instruction code and hexadecimal numbers into binary code before the data is processed&lt;br /&gt;
For High Level Language program the translators are either of these two types - Compilers and Interpreters. The compiler or interpreter converts the instructions written in High Level Language into binary code that can be stored or processed by a computer.&lt;br /&gt;
Compilers: take the entire user program as a source program and translates it into machine coded version called object program and gives the list of errors at the end&lt;br /&gt;
Interpreters: it takes one instruction at a time, translates it and checks for errors and does not proceed to the next instruction unless the one with errors has been rectified&lt;br /&gt;
&lt;br /&gt;
&lt;div&gt;As an example, the C language has a &quot;compiler&quot; whereas BASIC language has an interpreter.&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/6322631093383538981/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/03/binary-number-translators.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/6322631093383538981'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/6322631093383538981'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/03/binary-number-translators.html' title='Binary Number Translators'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrdzWrJ7R0iziMpzZBjeepmZ3G0ZgD6bT5wWzid-dpznWMGj7q016MyXLh1yukceXNpQnaswg5WS3RXodgaAEqEPyBL6-Ji7draHtd7Xsq2cpgza8hyphenhyphen6p5B-SFV16J5-rw19_ZlldCZY1S/s72-c/uqbtTranslators.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-2169615936693973180</id><published>2012-03-24T10:21:00.000-07:00</published><updated>2012-03-24T10:21:05.033-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Binary Numbers"/><category scheme="http://www.blogger.com/atom/ns#" term="uses of binary number"/><title type='text'>How the Binary Algorithm Works in a Search System</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;The binary accounting system might be a great mystery to those who are not well acquainted with the field of mathematics (either because you don&#39;t like it, or because you simply cannot understand so many mysteries). In this little article, you are going to learn a few things about the binary search algorithm that computers use. However, if you are rather interested in converting numbers, you can choose an online calculator that automatically converts decimal to binary or vice versa.&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuoTcGdh-uM8Qn0qalewSy1CdBdaWCbVgTiiqq-MU4Xzl-znzNI0boehrmk2SrR7insI-As9KlVw7TL-Y6Sg0FXKY_hu0sZKDGYtzKJSxa28NjUAxEbK4sW23uZzbFYXUP_QkTV9nBDeH4/s1600/index-search.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;177&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuoTcGdh-uM8Qn0qalewSy1CdBdaWCbVgTiiqq-MU4Xzl-znzNI0boehrmk2SrR7insI-As9KlVw7TL-Y6Sg0FXKY_hu0sZKDGYtzKJSxa28NjUAxEbK4sW23uZzbFYXUP_QkTV9nBDeH4/s320/index-search.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;How the Binary Algorithm Works in a Search System&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div&gt;&lt;div&gt;&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;If you need to work converting binary to decimal, there are also many converters that help you do that online for free. Now back to our short lesson on binary search algorithms. How do they work? Well, the binary search helps find quickly the right answer to a problem, especially if there is available a sorted list of numbers, or answers that the system can choose from. In other words, the binary system helps finding the quickest and most correct solution to a problem because:&lt;br /&gt;
&lt;br /&gt;
* The algorithm can quickly locate the position of an element in a list&lt;br /&gt;
&lt;br /&gt;
* When the search parameters are given, the system starts its search- it basically starts in the middle of the list and will perform a check to see if the value it is searching for is higher or lower. For example, if the search parameter is 75, and the list has 100 entries, the algorithm starts at 50 (in the middle of the list). Now, it will quickly recognize that the value it is looking for is actually higher than 50. What it will do, is to eliminate from the search entries from 0 to 50, and start searching the list from entries 50 to 100. Of course, it will much quicker find the parameter this way, than if it would search the entire list with 100 entries one by one (linear search).&lt;br /&gt;
&lt;br /&gt;
This is only a very simple representation of how the binary search algorithm works. Imagine that it can find the same accurately parameters on a list containing 1,000,000 items. To search for an exact number in such a huge list using the traditional linear search, it would take at least half a million comparisons for the system in order to spot the correct answer. But thanks to the algorithm system, everything is based on a non-linear search, based on the &quot;elimination&quot; system (this way, it will use only around 20 comparisons until it spots the correct parameter).&lt;br /&gt;
&lt;br /&gt;
For further decimal and binary correlations, you should try out a decimal to binary calculator which is free, and will help you convert quickly the numbers.&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/2169615936693973180/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/03/how-binary-algorithm-works-in-search.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/2169615936693973180'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/2169615936693973180'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/03/how-binary-algorithm-works-in-search.html' title='How the Binary Algorithm Works in a Search System'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuoTcGdh-uM8Qn0qalewSy1CdBdaWCbVgTiiqq-MU4Xzl-znzNI0boehrmk2SrR7insI-As9KlVw7TL-Y6Sg0FXKY_hu0sZKDGYtzKJSxa28NjUAxEbK4sW23uZzbFYXUP_QkTV9nBDeH4/s72-c/index-search.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-6636089639626297600</id><published>2012-03-20T09:10:00.001-07:00</published><updated>2012-03-20T09:10:37.287-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="binary number table"/><category scheme="http://www.blogger.com/atom/ns#" term="Binary Numbers"/><title type='text'>Decimal to binary conversion Table</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9wTCfB9gVom-UoceS7rpNS8WjaHUZTvepFN1LqZVzeawtda3n_YV4FlXah9VyXy96d9CUvFTMimWExKcRSC86RYhz5t3JK9uKI_-dxQ18xlBvjZdxI3l8kjS7o_QGACSsCFXvXaw29o8U/s1600/1.GIF&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9wTCfB9gVom-UoceS7rpNS8WjaHUZTvepFN1LqZVzeawtda3n_YV4FlXah9VyXy96d9CUvFTMimWExKcRSC86RYhz5t3JK9uKI_-dxQ18xlBvjZdxI3l8kjS7o_QGACSsCFXvXaw29o8U/s320/1.GIF&quot; width=&quot;300&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Decimal to binary conversion Table&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEishujoLB0xfRtNrIy_SalDW2Lh1tZVMnqOOpC7qGWb3YDzlJHWD8Ec24_cLSw5Ct57HGgFGozSqseDIq6gcBPlFvZ8eTe8xwWIg8lmXNllmCVVl9Mh4u4H7mXBOWpyOjS6tnr4_QR99eIg/s1600/2.GIF&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEishujoLB0xfRtNrIy_SalDW2Lh1tZVMnqOOpC7qGWb3YDzlJHWD8Ec24_cLSw5Ct57HGgFGozSqseDIq6gcBPlFvZ8eTe8xwWIg8lmXNllmCVVl9Mh4u4H7mXBOWpyOjS6tnr4_QR99eIg/s320/2.GIF&quot; width=&quot;304&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Decimal to binary conversion Table&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;br /&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/6636089639626297600/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/03/decimal-to-binary-conversion-table.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/6636089639626297600'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/6636089639626297600'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/03/decimal-to-binary-conversion-table.html' title='Decimal to binary conversion Table'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9wTCfB9gVom-UoceS7rpNS8WjaHUZTvepFN1LqZVzeawtda3n_YV4FlXah9VyXy96d9CUvFTMimWExKcRSC86RYhz5t3JK9uKI_-dxQ18xlBvjZdxI3l8kjS7o_QGACSsCFXvXaw29o8U/s72-c/1.GIF" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-4546063749075828918</id><published>2012-02-25T08:23:00.000-08:00</published><updated>2012-02-25T08:23:08.906-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Binary Numbers"/><title type='text'>Negative binary numbers</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;With addition being easily accomplished, we can perform the operation of subtraction with the same technique simply by making one of the numbers negative. For example, the subtraction problem of 7 - 5 is essentially the same as the addition problem 7 + (-5). Since we already know how to represent positive numbers in binary, all we need to know now is how to represent their negative counterparts and we&#39;ll be able to subtract.&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKG-6oTk_JhlybgY_XC_jqf-0cQSzOwEetSv_z14PPbWT5ZoLZOLpruANg2rGSyBFspdSmKFcZW1UIvnGZqU3AGI8LLrjRSntnJux5WPW-hrrwAKYEOAoshlx3S7AMvHclbrGcfkurTKyV/s1600/DataRep_SignMagnitude.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;210&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKG-6oTk_JhlybgY_XC_jqf-0cQSzOwEetSv_z14PPbWT5ZoLZOLpruANg2rGSyBFspdSmKFcZW1UIvnGZqU3AGI8LLrjRSntnJux5WPW-hrrwAKYEOAoshlx3S7AMvHclbrGcfkurTKyV/s320/DataRep_SignMagnitude.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Negative binary numbers&lt;/td&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;br /&gt;
Usually we represent a negative decimal number by placing a minus sign directly to the left of the most significant digit, just as in the example above, with -5. However, the whole purpose of using binary notation is for constructing on/off circuits that can represent bit values in terms of voltage (2 alternative values: either &quot;high&quot; or &quot;low&quot;). In this context, we don&#39;t have the luxury of a third symbol such as a &quot;minus&quot; sign, since these circuits can only be on or off (two possible states). One solution is to reserve a bit (circuit) that does nothing but represent the mathematical sign: &lt;br /&gt;
&lt;br /&gt;
. 1012 = 510 (positive) . . Extra bit, representing sign (0=positive, 1=negative) . | . 01012 = 510 (positive) . . Extra bit, representing sign (0=positive, 1=negative) . | . 11012 = -510 (negative) &lt;br /&gt;
&lt;br /&gt;
As you can see, we have to be careful when we start using bits for any purpose other than standard place-weighted values. Otherwise, 11012 could be misinterpreted as the number thirteen when in fact we mean to represent negative five. To keep things straight here, we must first decide how many bits are going to be needed to represent the largest numbers we&#39;ll be dealing with, and then be sure not to exceed that bit field length in our arithmetic operations. For the above example, I&#39;ve limited myself to the representation of numbers from negative seven (11112) to positive seven (01112), and no more, by making the fourth bit the &quot;sign&quot; bit. Only by first establishing these limits can I avoid confusion of a negative number with a larger, positive number. &lt;br /&gt;
&lt;br /&gt;
Representing negative five as 11012 is an example of the sign-magnitude system of negative binary numeration. By using the leftmost bit as a sign indicator and not a place-weighted value, I am sacrificing the &quot;pure&quot; form of binary notation for something that gives me a practical advantage: the representation of negative numbers. The leftmost bit is read as the sign, either positive or negative, and the remaining bits are interpreted according to the standard binary notation: left to right, place weights in multiples of two. &lt;br /&gt;
&lt;br /&gt;
As simple as the sign-magnitude approach is, it is not very practical for arithmetic purposes. For instance, how do I add a negative five (11012) to any other number, using the standard technique for binary addition? I&#39;d have to invent a new way of doing addition in order for it to work, and if I do that, I might as well just do the job with longhand subtraction; there&#39;s no arithmetical advantage to using negative numbers to perform subtraction through addition if we have to do it with sign-magnitude numeration, and that was our goal! &lt;br /&gt;
&lt;br /&gt;
There&#39;s another method for representing negative numbers which works with our familiar technique of longhand addition, and also happens to make more sense from a place-weighted numeration point of view, called complementation. With this strategy, we assign the leftmost bit to serve a special purpose, just as we did with the sign-magnitude approach, defining our number limits just as before. However, this time, the leftmost bit is more than just a sign bit; rather, it possesses a negative place-weight value. For example, a value of negative five would be represented as such: &lt;br /&gt;
&lt;br /&gt;
Extra bit, place weight = negative eight . | . 10112 = 510 (negative) . . (1 x -810) + (0 x 410) + (1 x 210) + (1 x 110) = -510 &lt;br /&gt;
&lt;br /&gt;
With the right three bits being able to represent a magnitude from zero through seven, and the leftmost bit representing either zero or negative eight, we can successfully represent any integer number from negative seven (10012 = -810 + 110 = -710) to positive seven (01112 = 010 + 710 = 710). &lt;br /&gt;
&lt;br /&gt;
Representing positive numbers in this scheme (with the fourth bit designated as the negative weight) is no different from that of ordinary binary notation. However, representing negative numbers is not quite as straightforward: &lt;br /&gt;
&lt;br /&gt;
zero 0000 positive one 0001 negative one 1111 positive two 0010 negative two 1110 positive three 0011 negative three 1101 positive four 0100 negative four 1100 positive five 0101 negative five 1011 positive six 0110 negative six 1010 positive seven 0111 negative seven 1001 . negative eight 1000&lt;br /&gt;
&lt;br /&gt;
Note that the negative binary numbers in the right column, being the sum of the right three bits&#39; total plus the negative eight of the leftmost bit, don&#39;t &quot;count&quot; in the same progression as the positive binary numbers in the left column. Rather, the right three bits have to be set at the proper value to equal the desired (negative) total when summed with the negative eight place value of the leftmost bit. &lt;br /&gt;
&lt;br /&gt;
Those right three bits are referred to as the two&#39;s complement of the corresponding positive number. Consider the following comparison: &lt;br /&gt;
&lt;br /&gt;
positive number two&#39;s complement --------------- ---------------- 001 111 010 110 011 101 100 100 101 011 110 010 111 001 &lt;br /&gt;
&lt;br /&gt;
In this case, with the negative weight bit being the fourth bit (place value of negative eight), the two&#39;s complement for any positive number will be whatever value is needed to add to negative eight to make that positive value&#39;s negative equivalent. Thankfully, there&#39;s an easy way to figure out the two&#39;s complement for any binary number: simply invert all the bits of that number, changing all 1&#39;s to 0&#39;s and vice versa (to arrive at what is called the one&#39;s complement) and then add one! For example, to obtain the two&#39;s complement of five (1012), we would first invert all the bits to obtain 0102 (the &quot;one&#39;s complement&quot;), then add one to obtain 0112, or -510 in three-bit, two&#39;s complement form. &lt;br /&gt;
&lt;br /&gt;
Interestingly enough, generating the two&#39;s complement of a binary number works the same if you manipulate all the bits, including the leftmost (sign) bit at the same time as the magnitude bits. Let&#39;s try this with the former example, converting a positive five to a negative five, but performing the complementation process on all four bits. We must be sure to include the 0 (positive) sign bit on the original number, five (01012). First, inverting all bits to obtain the one&#39;s complement: 10102. Then, adding one, we obtain the final answer: 10112, or -510 expressed in four-bit, two&#39;s complement form. &lt;br /&gt;
&lt;br /&gt;
It is critically important to remember that the place of the negative-weight bit must be already determined before any two&#39;s complement conversions can be done. If our binary numeration field were such that the eighth bit was designated as the negative-weight bit (100000002), we&#39;d have to determine the two&#39;s complement based on all seven of the other bits. Here, the two&#39;s complement of five (00001012) would be 11110112. A positive five in this system would be represented as 000001012, and a negative five as 111110112. &lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/4546063749075828918/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/negative-binary-numbers.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/4546063749075828918'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/4546063749075828918'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/negative-binary-numbers.html' title='Negative binary numbers'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKG-6oTk_JhlybgY_XC_jqf-0cQSzOwEetSv_z14PPbWT5ZoLZOLpruANg2rGSyBFspdSmKFcZW1UIvnGZqU3AGI8LLrjRSntnJux5WPW-hrrwAKYEOAoshlx3S7AMvHclbrGcfkurTKyV/s72-c/DataRep_SignMagnitude.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-8964532460284565894</id><published>2012-02-22T09:29:00.000-08:00</published><updated>2012-02-22T09:31:25.323-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Binary Numbers"/><title type='text'>Binaries(Definition and explanation)</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
A binary file, usually appended with the extension.bin is a file type that denotes the contents of the file as the most basic of computer-readable information. The actual purpose or human-readable content of binaries can be, essentially, anything.&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjEU1BBKUl-Qz_FibvTGfbxffAFE1mq3xT2Fiuh-qElaUn_Y2I0Ibv2B3WRDD4GxlwumR0AWVopAbiz0jKIolILBJigyCC72ZxerZGhFsroj4Gqg3ydHj_X95nwtJOUyEV4Y4WtNAczYg/s1600/name_ip_binaries_snapshot.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;313&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjEU1BBKUl-Qz_FibvTGfbxffAFE1mq3xT2Fiuh-qElaUn_Y2I0Ibv2B3WRDD4GxlwumR0AWVopAbiz0jKIolILBJigyCC72ZxerZGhFsroj4Gqg3ydHj_X95nwtJOUyEV4Y4WtNAczYg/s320/name_ip_binaries_snapshot.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Binaries(Definition and explanation)&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div&gt;
&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;br /&gt;
These files come in various types-such as &quot;flat binaries&quot;-which dictate how the file will be handled by the computer. To understand what a binary actually is, it is necessary to understand a bit about how a computer actually performs the enormous diversity of tasks with which it is charged.&lt;br /&gt;
&lt;br /&gt;
Computer data is, ultimately, a string of 1s and 0s. These numbers correspond to the conditions &quot;on&quot; and &quot;off&quot;. Broken down to its most basic level, a computer is really just a collection of switches which can be on or off to allow for different functions to be performed.&lt;br /&gt;
&lt;br /&gt;
The power of a computer comes with the enormous complexity of the devices. A binary file can contain thousands upon thousands of these on or off instructions and, thus, can contain the code required for computers to perform very sophisticated routines.&lt;br /&gt;
&lt;br /&gt;
Binaries which are designed to be viewed as text will generally use the ASCII technology to convert the binary data into a human-readable format; numbers and letters. If one were to open a binary file with an application that didn&#39;t interpret the data correctly, they would likely see a string of garble or, perhaps, the actual 1s and 0s that make up the file data.&lt;br /&gt;
&lt;br /&gt;
The means by which these files are opened is usually contained in a header. This header determines how the computer will handle the file. An image, for instance, will have a header identifying itself as being of one type or another which will allow the computer to select the correct program for reading the contents.&lt;br /&gt;
&lt;br /&gt;
Binaries without a header are called &quot;flat binaries&quot;. This data must be used in a very specific way to make the content at all useful. Fortunately, flat binary files are usually only used by programmers and other individuals with very advanced computer skills. Programmers often refer to executable files as binaries.&lt;br /&gt;
&lt;br /&gt;
On services such as Usenet, the appellation binary is given to a great number of file types, including text and images though the post in question will generally denote what type of data is included as the attachment. Some newsreaders can automatically determine this and select the appropriate program to view the data.&lt;br /&gt;
&lt;br /&gt;
Binaries are not as commonly-seen in general use as they are among computer professionals or, at least, binaries are usually referred to by more specific terms. An image file, for instance, may be correctly termed a binary but most users simply call it an image.&lt;br /&gt;
&lt;br /&gt;
The same applies for text files and executable files. If one is using newsgroup services, they&#39;ll likely run into this term more often than they would in other situations but it is safe to regard the term as simply a generic way of referring to any computer data.&lt;/div&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/8964532460284565894/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/binariesdefinition-and-explanation.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/8964532460284565894'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/8964532460284565894'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/binariesdefinition-and-explanation.html' title='Binaries(Definition and explanation)'/><author><name>Anonymous</name><uri>http://www.blogger.com/profile/16049634252018530349</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjEU1BBKUl-Qz_FibvTGfbxffAFE1mq3xT2Fiuh-qElaUn_Y2I0Ibv2B3WRDD4GxlwumR0AWVopAbiz0jKIolILBJigyCC72ZxerZGhFsroj4Gqg3ydHj_X95nwtJOUyEV4Y4WtNAczYg/s72-c/name_ip_binaries_snapshot.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-2464199424297450712</id><published>2012-02-17T11:45:00.004-08:00</published><updated>2012-02-17T11:53:02.641-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="INDEPTH understanding"/><title type='text'>Understanding the Number system</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;text-align: center;&quot;&gt;This is a somewhat technical subject, but it is one that will come in handy when you are working with computers, so stick with me through this article and you will understand number systems. I taught this subject to Army officers when I was on active duty many years ago, and I still remember it well. I was able to get it across to my students, and I can do the same for you if you will concentrate on it with me. I recommend that you work the problems to fully understand the subject.&lt;/span&gt; &lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhElqElBHZR9dHggW9Oksx0myc2JhMEyPUHAcaul1aPxTjbUKTtjQsDOY-ufECznyTcOF3p_QJl4wT32uKNB90yu5A0FfaPayMxl_d-VWroFymbgUQ5kLWaHTZrWGCW_-kagu9qYuj9x_jS/s1600/binary_numbers.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;240&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhElqElBHZR9dHggW9Oksx0myc2JhMEyPUHAcaul1aPxTjbUKTtjQsDOY-ufECznyTcOF3p_QJl4wT32uKNB90yu5A0FfaPayMxl_d-VWroFymbgUQ5kLWaHTZrWGCW_-kagu9qYuj9x_jS/s320/binary_numbers.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Understanding the Number system&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;The number system we are taught and with which we deal daily in our lives is decimal. The base of this number system is 10. We are taught early that the positional values for this number system are ones, tens, hundreds, thousands, etc. We are taught this by rote, but we are not taught the rule on how to calculate them. But that is easy. Number systems always start with the ones position. The positional value to the left of one will be one times the base of the number system or ten (1 X 10 = 10). The next positional value to the left will be that positional value times the base of the system or 100 (10 X 10 = 100). This is how the ones, ten, hundreds, thousands are calculated.&lt;br /&gt;
&lt;br /&gt;
Each number system has one character multiplier values in it that range from zero to one less than the base of the number system. In decimal, the multipliers are 0 - 9.&lt;br /&gt;
&lt;br /&gt;
When we look at the number 123, we just accept it as the decimal value, but in number system theory, it is the sum of all multipliers times the positional value for the multiplier. Follow this example:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
3 X 1 = 3 2 X 10 = 20 1 X 100 = 100&lt;br /&gt;
&lt;br /&gt;
&lt;div&gt;Add up the numbers to the right of the equal signs (3 + 20 + 100) and you get 123.&lt;/div&gt;&lt;div&gt;You have heard that computers use binary. This is because in electrical circuits there is an on or on off value (two possible values). The base for binary is two (2). Follow the rule for multipliers that they will be from 0 to one less than the base of the system so the multipliers for binary are zero and one.&lt;br /&gt;
&lt;br /&gt;
Follow the rule for determining the positional values for the system. Start at one and multiply it by the base (two) so the position to the left of the one position is two (1 X 2). The next position to the left is the two position times the base (2) or 4 (2 X 2). The next position to the left is the four position times two (4 X 2) or 8. Here are the first few positional values in binary:&lt;br /&gt;
&lt;br /&gt;
256 - 128 - 64 - 32 - 16 - 8 - 4 - 2 - 1&lt;br /&gt;
&lt;br /&gt;
Notice that each position is doubled the value to its right. This makes sense since the base is two and we are multiplying each positional value by two to get the value of the next position to the left.&lt;br /&gt;
&lt;br /&gt;
Let&#39;s look at this binary number.&lt;br /&gt;
&lt;br /&gt;
10011&lt;br /&gt;
&lt;br /&gt;
To convert this to decimal, we multiply the positional value by the multiplier.&lt;br /&gt;
&lt;br /&gt;
1 X 1 = 1 1 X 2 = 2 0 X 4 = 0 0 X 8 = 0 1 X 16 = 16&lt;br /&gt;
&lt;br /&gt;
Now add up the values to the right of the equal sign and we get 19 decimal for the binary number 10011.&lt;br /&gt;
&lt;br /&gt;
What is the decimal value of 111 binary? If you got 7 decimal then you understand how binary works.&lt;br /&gt;
&lt;br /&gt;
1 X 1 = 1 1 X 2 = 2 1 X 4 = 4&lt;br /&gt;
&lt;br /&gt;
1 + 2 + 4 = 7&lt;br /&gt;
&lt;br /&gt;
Convert one more binary number - 1000000. If you got 64 decimal, you are right.&lt;br /&gt;
&lt;br /&gt;
A weakness of binary is that it takes so many positions to express a large value. To get around this, the hexadecimal base system was devised. This is the base 16. We abbreviate hexadecimal as &quot;hex&quot;.&lt;br /&gt;
&lt;br /&gt;
Since we said earlier that the multipliers for the system were zero to one less than the base of the system (16), how can we get one position multipliers when we only have 0 - 9 as numeric numbers? Well, we use the first six letters of the alphabet for the multipliers above nine. Here are the multipliers in hex.&lt;/div&gt;&lt;div&gt;0&lt;br /&gt;
&lt;br /&gt;
1&lt;br /&gt;
&lt;br /&gt;
2&lt;br /&gt;
&lt;br /&gt;
3&lt;br /&gt;
&lt;br /&gt;
4&lt;br /&gt;
&lt;br /&gt;
5&lt;br /&gt;
&lt;br /&gt;
6&lt;br /&gt;
&lt;br /&gt;
7&lt;br /&gt;
&lt;br /&gt;
8&lt;br /&gt;
&lt;br /&gt;
9&lt;br /&gt;
&lt;br /&gt;
A=10&lt;br /&gt;
&lt;br /&gt;
B=11&lt;br /&gt;
&lt;br /&gt;
C=12&lt;br /&gt;
&lt;br /&gt;
D=13&lt;br /&gt;
&lt;br /&gt;
E=14&lt;br /&gt;
&lt;br /&gt;
F=15&lt;br /&gt;
&lt;br /&gt;
OK, now stick with me and remember the rules for number systems. The positional values start with one and are determined by multiplying the base by the number to get each succeeding positional value from right to left.&lt;br /&gt;
&lt;br /&gt;
The first positional value is one. The next one to the left is 16 (1 X 16). The next one to the left is 256 (16 X 16). The next one to the left of 256 is 4,096 (256 X 16). The next one to the left of 4,096 is 65,536 (4,096 X 16).&lt;br /&gt;
&lt;br /&gt;
The first few positional values of hex are:&lt;br /&gt;
&lt;br /&gt;
1,048,576 - 65,536 - 4,096 - 256 - 16 - 1&lt;br /&gt;
&lt;br /&gt;
You can see that we can express a very large number in hex with fewer positions than we can in our standard decimal numbering system.&lt;br /&gt;
&lt;br /&gt;
Let&#39;s convert a few hex numbers to decimal. Convert hex 1F to decimal. Just follow the rule and multiply the positional value by the multiplier.&lt;br /&gt;
&lt;br /&gt;
F (=15) X 1 = 15 1 X 16 = 16&lt;br /&gt;
&lt;br /&gt;
Add 15 and 16 and the number 1F in hex is 31 in decimal.&lt;br /&gt;
&lt;br /&gt;
Convert 2AB hex to decimal. Just follow the rule. Remember, multiply each positional value by its multiplier.&lt;br /&gt;
&lt;br /&gt;
B (=11) X 1 = 11 A (=10) X 16 = 160 2 X 256 = 512&lt;br /&gt;
&lt;br /&gt;
Add up the values to the right of the equal signs and you find that 2AB in hex is 683 in decimal.&lt;br /&gt;
&lt;br /&gt;
Why learn hex? In some instances when you are writing HTML for web pages, hex numbers are used. A two position hex number will express a number from 0 (hex 00) to 255 (hex FF). Since zero is a number, this will give 256 total values.&lt;br /&gt;
&lt;br /&gt;
Another reason that hex is used is that each four positions of a binary number can be expressed in one hex position so it is much easier to write a large number in hex than in binary.&lt;br /&gt;
&lt;br /&gt;
Let&#39;s look at the binary value 1111. If you use the rules, this will be 1+2+4+8 = 15. This can be written as &quot;F&quot; in hex. (the multiplier &quot;F&quot; in hex is equal to decimal 15.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Let&#39;s convert another number in binary to hex. Start at the ones position and break the binary number into four position groups. Express each four position group as its hex value&lt;br /&gt;
&lt;br /&gt;
Binary 1011 1100 1001 0111&lt;br /&gt;
&lt;br /&gt;
Hex -------B------C-----9-----7&lt;br /&gt;
&lt;br /&gt;
To double check that the two are equal follow the rules and convert both number systems to decimal. If you came up with 48,279 you are right.&lt;br /&gt;
&lt;br /&gt;
Thank goodness, we do not have to keep our check books in hex or binary, but remember that the computer is using binary as its native language. Binary easily translates into hex. Be glad it does this and converts the answers to decimal for us.&lt;br /&gt;
&lt;br /&gt;
There are times when we do have to use hex in working with computers. One application for using hex is in color codes used in HTML code.&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/2464199424297450712/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/understanding-number-system.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/2464199424297450712'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/2464199424297450712'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/understanding-number-system.html' title='Understanding the Number system'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhElqElBHZR9dHggW9Oksx0myc2JhMEyPUHAcaul1aPxTjbUKTtjQsDOY-ufECznyTcOF3p_QJl4wT32uKNB90yu5A0FfaPayMxl_d-VWroFymbgUQ5kLWaHTZrWGCW_-kagu9qYuj9x_jS/s72-c/binary_numbers.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-8803016828673174518</id><published>2012-02-12T13:27:00.000-08:00</published><updated>2012-02-12T13:29:39.530-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Binary Numbers"/><title type='text'>How To Understand Binary System of Number Counting???</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcstuz_uCitpY6WanfcfgPq5V-u0hu0u2xkRUzWOxe6ed1cJISj4bejdVajpL_4BnPLEG0Sdg15p8C9QdtsvsNSKy6LeXWs3y5HH6PCr6ew2TTaTmRo97jTwrQdL8lgqkdeUKSLwShCS42/s1600/M150_1_I003i.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;211&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcstuz_uCitpY6WanfcfgPq5V-u0hu0u2xkRUzWOxe6ed1cJISj4bejdVajpL_4BnPLEG0Sdg15p8C9QdtsvsNSKy6LeXWs3y5HH6PCr6ew2TTaTmRo97jTwrQdL8lgqkdeUKSLwShCS42/s320/M150_1_I003i.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;How To Understand Binary System of Number Counting???&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;Well, we are all acquainted with decimal system of number counting. It has ten digits from 0 to 9. We are keeping here counting restricted to what we call as natural numbers, such as 1 mango, 2 mangoes, and so on. Now, what about binary system of number counting where you have only two digits, 0 and 1. We will discuss the concept behind zero as a dummy variable in this article, and would see that whether it is decimal or binary or any other system of number counting, the fundamental rule is the same.&lt;/span&gt;&lt;br /&gt;
&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;As zero by itself represents nothing while counting, we can call that there are nine core digits in the decimal system. Once nine core digits (1,2,3,4,5,6,7,8,and 9) that represent increasing weightage by 1 unit are exhausted, zero (0) comes into action. It is also logical that 0 (zero) should be preceded by 1 after nine. Thus the number formed is 10.&lt;br /&gt;
&lt;br /&gt;
Zero is thus used as a dummy to move forward with counting. Now, navigating on the escape vehicle that has been devised using 10, it is easier to count nine more mangoes just the same way when we started originally. So, nine following numbers (11,12,13,14,15,16,17,18,and 19) and again we are looking for a number that should follow 9 in 19. So, put zero as savior. This time it will be accompanied by 2 which is a successor of 1. This form of filling would continue up to 99 when we will again run out of constraints of 9 core digits, one dummy digit in the form of zero, and two places. (for easy understanding of what we mean by places in this context here, we can call that all numbers starting with 100 and ending with 999 in decimal system represents three places. While 99 represents two places, 1001 represents four places). Now, this time, 2 zeros come to rescue preceded by 1, and the number formed is 100. And the cycle goes on.&lt;br /&gt;
&lt;br /&gt;
Now, what about binary system of number counting? Here, you have only two digits, 0 and 1. As usual, zero represents nothing (zero mango means there is no mango). So, there is only one core digit which is 1 that in our case represents one mango. Once one core digit (1) is exhausted, how will we count two mangoes? Well again, zero (0) comes into action. So, after 1 is exhausted, you put 0 to count further unit where 0 is preceded by 1. So two mangoes in binary system will read 10. Again to represent three mangoes in binary system, you leverage on zero (in 10 that we saw just now represented two mangoes in binary system) that can be substituted with a weapon in hand 1. So, you have 11 representing three mangoes in binary system, since 10 that represented 2 mangoes left with a scope to change 10 to 11.&lt;br /&gt;
&lt;br /&gt;
You rightly understood that you can only have 10 and 11 as two numbers in binary system using 2 places. You cannot have 00 representing any core number in binary system just as in decimal system. It would simply mean zero (0) or nothing.&lt;br /&gt;
&lt;br /&gt;
Now, what about four mangoes? Well, you are out of resource to represent a number using two places and two digits. Now, you take recourse to three places. This time put 2 zeros preceding 1. So, four mangoes in binary system will read 100. Again for five mangoes, why not start with 101. You are correct. Now, you also rightly guess that starting 100 as binary number, you can have only 101, 110 and 111 as three more representations using three places.&lt;br /&gt;
&lt;br /&gt;
You have already noted that 100 and 101 are logically represented in binary system for four and five mangoes. Now, obviously only six and seven mangoes can be represented by 110 and 111 in binary system. You guess by your hunches that 110 in binary system should represent six mangoes and 111 in binary system should represent seven mangoes. You are absolutely correct. Why? You may now by yourself explain this to your friends.&lt;br /&gt;
&lt;br /&gt;
The concept that rules decimal or binary or octal or any other system of counting that uses zero as dummy variable is the same. Zero which by itself represents nothing comes into action as a joker to fill the vacuum when the number of core digits (such as 9 in decimal system, 1 in binary system, 7 in octal system) are exhausted.&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/8803016828673174518/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/how-to-understand-binary-system-of.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/8803016828673174518'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/8803016828673174518'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/how-to-understand-binary-system-of.html' title='How To Understand Binary System of Number Counting???'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcstuz_uCitpY6WanfcfgPq5V-u0hu0u2xkRUzWOxe6ed1cJISj4bejdVajpL_4BnPLEG0Sdg15p8C9QdtsvsNSKy6LeXWs3y5HH6PCr6ew2TTaTmRo97jTwrQdL8lgqkdeUKSLwShCS42/s72-c/M150_1_I003i.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-4401466825700675038</id><published>2012-02-11T11:44:00.000-08:00</published><updated>2012-02-11T11:44:02.868-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="representation"/><title type='text'>Representation of binary numbers</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;br /&gt;
&lt;div style=&quot;background-color: white; line-height: 24px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;Any number can be represented by any sequence of&amp;nbsp;bits&amp;nbsp;(binary digits), which in turn may be represented by any mechanism capable of being in two mutually exclusive states.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMNxOmGVLnsERx1-sMjs2yAKuFDZr5vqiMZ8TGmCIcTfQAPSouDTGWWPNuwGOqrmFIucvdp_3ukVi6tvtAoZk6wy1oD_VcJIW1xPbVygvbw_eAWEmrexPw0zahrCXiXF3LUSAp_ekN3ZS8/s1600/60seconds-binary-1.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;303&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMNxOmGVLnsERx1-sMjs2yAKuFDZr5vqiMZ8TGmCIcTfQAPSouDTGWWPNuwGOqrmFIucvdp_3ukVi6tvtAoZk6wy1oD_VcJIW1xPbVygvbw_eAWEmrexPw0zahrCXiXF3LUSAp_ekN3ZS8/s400/60seconds-binary-1.gif&quot; width=&quot;400&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;font-family: inherit; font-size: small;&quot;&gt;Representation of binary numbers&lt;/span&gt;&lt;a name=&#39;more&#39;&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div style=&quot;background-color: white; line-height: 24px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;The following sequence of symbols could all be interpreted as the binary numeric value of&amp;nbsp;667:&lt;/span&gt;&lt;/div&gt;&lt;pre style=&quot;background-color: white; border-bottom-color: rgb(47, 111, 171); border-bottom-style: dashed; border-bottom-width: 1px; border-image: initial; border-left-color: rgb(47, 111, 171); border-left-style: dashed; border-left-width: 1px; border-right-color: rgb(47, 111, 171); border-right-style: dashed; border-right-width: 1px; border-top-color: rgb(47, 111, 171); border-top-style: dashed; border-top-width: 1px; line-height: 1.3em; padding-bottom: 1em; padding-left: 1em; padding-right: 1em; padding-top: 1em; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;1 0 1 0 0 1 1 0 1 1
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x o x o o x x o x x
y n y n n y y n y y&amp;nbsp;&lt;/span&gt;&lt;/pre&gt;&lt;div style=&quot;background-color: white; line-height: 24px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;
In keeping with customary representation of numerals using&amp;nbsp;Arabic numerals, binary numbers are commonly written using the symbols&amp;nbsp;&lt;b&gt;0&lt;/b&gt;&amp;nbsp;and&amp;nbsp;&lt;b&gt;1&lt;/b&gt;. When written, binary numerals are often subscripted, prefixed or suffixed in order to indicate their base, or radix. The following notations are equivalent:The numeric value represented in each case is dependent upon the value assigned to each symbol. In a computer, the numeric values may be represented by two different&amp;nbsp;voltages; on a&amp;nbsp;magnetic&amp;nbsp;disk, magnetic&amp;nbsp;polarities&amp;nbsp;may be used. A &quot;positive&quot;, &quot;yes&quot;, or &quot;on&quot; state is not necessarily equivalent to the numerical value of one; it depends on the architecture in use.&lt;/span&gt;&lt;/div&gt;&lt;dl style=&quot;background-color: white; line-height: 24px; margin-bottom: 0.5em; margin-top: 0.2em; text-align: -webkit-auto;&quot;&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;100101 binary (explicit statement of format)&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;100101b (a suffix indicating binary format)&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;100101B (a suffix indicating binary format)&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;bin 100101 (a prefix indicating binary format)&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;100101&lt;sub style=&quot;line-height: 1em;&quot;&gt;2&lt;/sub&gt;&amp;nbsp;(a subscript indicating base-2 (binary) notation)&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;%100101 (a prefix indicating binary format)&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;0b100101 (a prefix indicating binary format, common in programming languages)&lt;/span&gt;&lt;/dd&gt;&lt;dd style=&quot;line-height: 1.5em; margin-bottom: 0.1em; margin-left: 1.6em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;6b100101 (a prefix indicating number of bits in binary format, common in programming languages)&lt;/span&gt;&lt;/dd&gt;&lt;/dl&gt;&lt;div style=&quot;background-color: white; line-height: 24px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: -webkit-auto;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;When spoken, binary numerals are usually read digit-by-digit, in order to distinguish them from decimal numbers. For example, the binary numeral 100 is pronounced&amp;nbsp;&lt;i&gt;one zero zero&lt;/i&gt;, rather than&amp;nbsp;&lt;i&gt;one hundred&lt;/i&gt;, to make its binary nature explicit, and for purposes of correctness. Since the binary numeral 100 is equal to the decimal value four, it would be confusing to refer to the numeral as&amp;nbsp;&lt;i&gt;one hundred&lt;/i&gt;.&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/4401466825700675038/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/representation-of-binary-numbers.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/4401466825700675038'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/4401466825700675038'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/representation-of-binary-numbers.html' title='Representation of binary numbers'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMNxOmGVLnsERx1-sMjs2yAKuFDZr5vqiMZ8TGmCIcTfQAPSouDTGWWPNuwGOqrmFIucvdp_3ukVi6tvtAoZk6wy1oD_VcJIW1xPbVygvbw_eAWEmrexPw0zahrCXiXF3LUSAp_ekN3ZS8/s72-c/60seconds-binary-1.gif" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-4403786495707815275.post-589492441973930481</id><published>2012-02-10T10:44:00.001-08:00</published><updated>2012-02-11T11:46:06.952-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Defination"/><title type='text'>What is binary number?</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicKhIK2HsoQdfHcEV6rJLhNX-dKQw_Dv2042h537B8RJMbzh6WNit2yQHpFzIEwcU14PyGxeAXH8TrppenZFEooWZGlZnnZ82HStJo7hkcYvZ3aUnOFiokKPqtghEGt9VSWGPk5pZVyeDA/s1600/easy_binary_numbers-119017-2.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;247&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicKhIK2HsoQdfHcEV6rJLhNX-dKQw_Dv2042h537B8RJMbzh6WNit2yQHpFzIEwcU14PyGxeAXH8TrppenZFEooWZGlZnnZ82HStJo7hkcYvZ3aUnOFiokKPqtghEGt9VSWGPk5pZVyeDA/s400/easy_binary_numbers-119017-2.jpeg&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;What is binary number&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;Binary Number is a system of numbers.It is also known by its other names binary numeral system, or base-2 number system.Binary Number represents numeric values using two symbols, 0 and 1. More specifically, the usual base -2 system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers.&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://binarynumbersa.blogspot.com/feeds/589492441973930481/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/what-is-binary-number.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/589492441973930481'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/4403786495707815275/posts/default/589492441973930481'/><link rel='alternate' type='text/html' href='http://binarynumbersa.blogspot.com/2012/02/what-is-binary-number.html' title='What is binary number?'/><author><name>Glenn D</name><uri>http://www.blogger.com/profile/05833058544566032692</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicKhIK2HsoQdfHcEV6rJLhNX-dKQw_Dv2042h537B8RJMbzh6WNit2yQHpFzIEwcU14PyGxeAXH8TrppenZFEooWZGlZnnZ82HStJo7hkcYvZ3aUnOFiokKPqtghEGt9VSWGPk5pZVyeDA/s72-c/easy_binary_numbers-119017-2.jpeg" height="72" width="72"/><thr:total>0</thr:total></entry></feed>