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Include dependency graph for binary_exponent.cpp:</div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p >C++ Program to find Binary Exponent Iteratively and Recursively. </p>
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<p >Calculate \(a^b\) in \(O(\log(b))\) by converting \(b\) to a binary number. Binary exponentiation is also known as exponentiation by squaring. </p><dl class="section note"><dt>Note</dt><dd>This is a far better approach compared to naive method which provide \(O(b)\) operations.</dd></dl>
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<p>Example: 10 in base 2 is 1010. </p><p class="formulaDsp">
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<p>Example: 10 in base 2 is 1010. </p><p class="formulaDsp">
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\begin{eqnarray*}
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2^{10_d} &=& 2^{1010_b} = 2^8 * 2^2\\
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2^1 &=& 2\\
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<p> Hence to calculate 2^10 we only need to multiply \(2^8\) and \(2^2\) skipping \(2^1\) and \(2^4\). </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="aeb48dce0725e63d19147944f41843c73" name="aeb48dce0725e63d19147944f41843c73"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aeb48dce0725e63d19147944f41843c73">◆ </a></span>binExpo()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aeb48dce0725e63d19147944f41843c73">◆ </a></span>binExpo()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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