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<feed xmlns="http://www.w3.org/2005/Atom">
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<id>https://blog.simplecode.gr</id>
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<title>Simplecode Blog</title>
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<updated>2025-10-16T06:37:10.621Z</updated>
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<updated>2025-10-16T06:39:31.151Z</updated>
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<generator>Astro-Theme-Retypeset with Feed for Node.js</generator>
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<author>
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<name>Simplecode</name>
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<p>So the number we will store is : the exponent + 127 =&gt; 1 + 127 = 128.</p>
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<p>But we want this in binary. 128 in binary is <code>10000000</code>. That's our "Biased Exponent".</p>
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<h4>III. Mantissa</h4>
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<p>Take the first 23 bits (<em>because we assumed we are talking about 32-bit float</em>) after the <code>1.</code>, from the binary we found on the step I. : <code>10010101111010111000101</code> (truncated to fit). This is out "Mantissa".</p>
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<p>Take the first 23 bits (<em>because we assumed we are talking about 32-bit float</em>) after the <code>1.</code>, from the binary we found on the step I. : <code>10010101111010111000101</code> (truncated to fit). That's our "Mantissa".</p>
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<h4>IV. Split into IEEE 754 Parts</h4>
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<ul>
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<li><strong>Sign</strong>: <code>0</code> (positive)</li>

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