<h1 id="binary">Binary<a aria-hidden="true" class="anchor-heading icon-link" href="#binary"></a></h1>
<p>"Binary" is the name given to the base-2 numeral system (decimal being base-10). Each place represents a bit, which can have a value of either 0 or 1 (compared to base-10, where each place can have a value of 0–9).</p>
<p>The table below shows some values for an 8-bit number alongside their decimal representations:</p>
<div class="table-responsive">






































































<table><thead><tr><th>Binary place</th><th>8</th><th>7</th><th>6</th><th>5</th><th>4</th><th>3</th><th>2</th><th>1</th></tr></thead><tbody><tr><td>Decimal value of binary place</td><td>128</td><td>64</td><td>32</td><td>16</td><td>8</td><td>4</td><td>2</td><td>1</td></tr><tr><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><td>127</td><td>0</td><td>1</td><td>1</td><td>1</td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><td>225</td><td>1</td><td>1</td><td>1</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td></tr><tr><td>255</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td></tr></tbody></table></div>
<h1 id="terminology">Terminology<a aria-hidden="true" class="anchor-heading icon-link" href="#terminology"></a></h1>
<ul>
<li>A <strong>bit</strong> is an individual place with a value of either 1 or 0; portmanteau of "binary digit".</li>
<li>A <strong>Nibble</strong> is 4 bits.</li>
<li>A <strong>byte</strong> is 8 bits.</li>
<li>A <strong>hextet</strong> is 16 bits.</li>
</ul>
<h1 id="other-representations">Other representations<a aria-hidden="true" class="anchor-heading icon-link" href="#other-representations"></a></h1>
<ul>
<li><a href="/notes/8f70de32-190f-4925-9f07-0d5efcfd481b">Octal</a>, base-8</li>
<li><a href="/notes/4f8b5190-0cc1-4af2-935d-2efc70a15f48">Hexadecimal</a>, base-16</li>
</ul>
<hr>
<strong>Backlinks</strong>
<ul>
<li><a href="/notes/49c26674-16fa-4c2b-b628-fd9a0503f89c">Mathematics (public)</a></li>
<li><a href="/notes/4f8b5190-0cc1-4af2-935d-2efc70a15f48">Hexadecimal (public)</a></li>
<li><a href="/notes/0fb31e80-122f-40ba-8ecd-04058c11bc51">IPv4 (public)</a></li>
<li><a href="/notes/b62426f2-a0fc-41b3-9962-9f128016c91e">IPv6 (public)</a></li>
</ul>

Binary


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Binary place	8	7	6	5	4	3	2	1
Decimal value of binary place	128	64	32	16	8	4	2	1
0	0	0	0	0	0	0	0	0
127	0	1	1	1	0	0	0	0
225	1	1	1	0	0	0	0	1
255	1	1	1	1	1	1	1	1