https://www.paulbui.net/wiki/index.php?action=history&feed=atom&title=Binary 2026-08-08T09:22:04Z Revision history for this page on the wiki MediaWiki 1.31.8 https://www.paulbui.net/wiki/index.php?title=Binary&diff=858&oldid=prev 2008-09-19T17:14:02Z

<p>‎<span dir="auto"><span class="autocomment">Binary</span></span></p> <p><b>New page</b></p><div>== Binary ==<br /> Binary code, or &#039;&#039;&#039;Machine Code&#039;&#039;&#039;, is the basic, lowest level of communication of data used by computers. It consists of a given number of &#039;&#039;bytes&#039;&#039; which contain 8 &#039;&#039;bits&#039;&#039;, or places, each. Binary is base 2 of a number, where all place values are powers of the number 2. For example, the number 3 in binary is 00000011&lt;sub&gt;2&lt;/sub&gt;, because there is one &#039;&#039;2&#039;&#039; plus one &#039;&#039;1&#039;&#039;. Notice how 8 &#039;&#039;bits&#039;&#039; are used.<br /> <br /> === 2&#039;s Complement ===<br /> To represent negative integers, &#039;&#039;&#039;2&#039;s complement&#039;&#039;&#039; is used. This is formed by flipping every bit (&#039;&#039;1&#039;s compliment&#039;&#039;) and adding 1.<br /> For example:<br /> :To find -3&lt;sub&gt;10&lt;/sub&gt; in base 2:<br /> :3&lt;sub&gt;10&lt;/sub&gt; = 00000011&lt;sub&gt;2&lt;/sub&gt;<br /> :One&#039;s complement: 11111100&lt;sub&gt;2&lt;/sub&gt;<br /> :Add one: 11111101&lt;sub&gt;2&lt;/sub&gt;<br /> :&amp;there4; -3&lt;sub&gt;10&lt;/sub&gt; = 11111101&lt;sub&gt;2&lt;/sub&gt;<br /> :Q.E.D.</div>

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