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		<updated>2026-04-23T17:43:58Z</updated>
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	<entry>
		<id>https://wikiti.brandonw.net/index.php?title=83Plus:OS:Big_Integers&amp;diff=3459&amp;oldid=prev</id>
		<title>FloppusMaximus at 21:26, 29 March 2005</title>
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				<updated>2005-03-29T21:26:58Z</updated>
		
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&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 21:26, 29 March 2005&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:83Plus:OS Information]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:83Plus:OS Information&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;|Big Integers&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Big integers''' are used by the internal cryptographic functions, for which ordinary fixed- or floating-point numbers would be inadequate.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Big integers''' are used by the internal cryptographic functions, for which ordinary fixed- or floating-point numbers would be inadequate.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>FloppusMaximus</name></author>	</entry>

	<entry>
		<id>https://wikiti.brandonw.net/index.php?title=83Plus:OS:Big_Integers&amp;diff=697&amp;oldid=prev</id>
		<title>FloppusMaximus at 17:28, 29 March 2005</title>
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				<updated>2005-03-29T17:28:41Z</updated>
		
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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Category:83Plus:OS Information]]&lt;br /&gt;
'''Big integers''' are used by the internal cryptographic functions, for which ordinary fixed- or floating-point numbers would be inadequate.&lt;br /&gt;
&lt;br /&gt;
A big integer takes the following form:&lt;br /&gt;
* The first byte holds the length of the number in bytes.&lt;br /&gt;
* Subsequent bytes are the digits of the number, represented in base 256.  They are in &amp;quot;little-endian&amp;quot; order, which means that the least significant digit comes first.&lt;br /&gt;
* The most significant byte is usually required to be nonzero.&lt;br /&gt;
&lt;br /&gt;
For example, an approximation of [http://en.wikipedia.org/wiki/Avogadro%27s_number Avogadro's number] could be represented by:&lt;br /&gt;
 '''0A''' 00 00 27 FE AF 45 30 18 86 7F&lt;br /&gt;
&lt;br /&gt;
(In other words, the above represents the hexadecimal number 7F86183045AFFE270000.)&lt;br /&gt;
&lt;br /&gt;
Big integers are generally limited to 64 digits -- 512 bits -- because of the fixed sizes of the registers used to operate on them.&lt;br /&gt;
&lt;br /&gt;
Big integers are often stored in app or certificate fields, both with and without the length byte included in the field data.  For example, the usual app header includes a signature of the date stamp, which is a &amp;quot;raw&amp;quot; 64-byte field.  In contrast, Rabin moduli given in certificates are stored as 65-byte fields, the first byte of which is the length.&lt;/div&gt;</summary>
		<author><name>FloppusMaximus</name></author>	</entry>

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