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01_01_06.html
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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8" />
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<title>Exercise 1.6</title>
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border-left-color: #ffffff;
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<h1 class="title toc-ignore">Exercise 1.6</h1>
</div>
<blockquote>
<p>Use enumeration to find the number of bit strings of length at most 4.</p>
</blockquote>
<p>As shown in exercise <a href="01_01_05.html">1.5</a>, there are 14 bit strings of length at most 3. Adding the following sixteen bit strings of length 4:</p>
<ol style="list-style-type: decimal">
<li><span class="math inline">\(0000\)</span></li>
<li><span class="math inline">\(0001\)</span></li>
<li><span class="math inline">\(0010\)</span></li>
<li><span class="math inline">\(0011\)</span></li>
<li><span class="math inline">\(0100\)</span></li>
<li><span class="math inline">\(0101\)</span></li>
<li><span class="math inline">\(0110\)</span></li>
<li><span class="math inline">\(0111\)</span></li>
<li><span class="math inline">\(1000\)</span></li>
<li><span class="math inline">\(1001\)</span></li>
<li><span class="math inline">\(1010\)</span></li>
<li><span class="math inline">\(1011\)</span></li>
<li><span class="math inline">\(1100\)</span></li>
<li><span class="math inline">\(1101\)</span></li>
<li><span class="math inline">\(1110\)</span></li>
<li><span class="math inline">\(1111\)</span></li>
</ol>
<p>gives us a total of 30 bit strings of length at most 4.</p>
</div>
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