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	<title>Radix-100 - Revision history</title>
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		<title>Stephen Shaw: New article on internal representation of numbers- Radix-100 format- from Users Reference Guide</title>
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		<updated>2014-12-07T11:05:38Z</updated>

		<summary type="html">&lt;p&gt;New article on internal representation of numbers- Radix-100 format- from Users Reference Guide&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Radix 100-&lt;br /&gt;
&lt;br /&gt;
Technically speaking, the TI99/4a uses a 7-digit Radix-100 mantissa for internal calculations. &lt;br /&gt;
&lt;br /&gt;
A single Radix-100 digit has a range of value from 0 to 99 in base-10 arithmetic. &lt;br /&gt;
&lt;br /&gt;
This means that a 7-digit Radix-100 number will correspond to decimal precision of 13 to 14 digits, depending on the value.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Radix-100 exponents range in value from -64 to +63 which yield decimal values of 10-128 to 10+126. &lt;br /&gt;
&lt;br /&gt;
The Radix-100 mantissa and exponent combine to provide an equivalent decimal range of from&lt;br /&gt;
-9.9999999999999E127 through -1.0000000000000E-128; zero; and then +1.0000000000000E-128 on&lt;br /&gt;
through +9.9999999999999E127.&lt;br /&gt;
&lt;br /&gt;
The internal format of each numerical value consists of eight bytes. The first byte contains the exponent&lt;br /&gt;
and its sign, biased by 40 hex. The remaining bytes contain the mantissa, with the most significant digit&lt;br /&gt;
first. &lt;br /&gt;
&lt;br /&gt;
The number is normalized so that the decimal point is immediately after the most significant digit.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If the number is negative, then the first two bytes are complemented.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Examples&lt;br /&gt;
&lt;br /&gt;
 1. The number 12710 is represented as:&lt;br /&gt;
     EXP    MSD                             LSD&lt;br /&gt;
     41     01   1B   00    00   00   00    00&lt;br /&gt;
&lt;br /&gt;
 2. The fraction 0.510 is represented as:&lt;br /&gt;
    3F     32   00   00    00   00   00    00&lt;br /&gt;
&lt;br /&gt;
 3a. The value of pi/2 is represented as:&lt;br /&gt;
     40     01   39   07    60   20   43    5F&lt;br /&gt;
&lt;br /&gt;
 3b. The value of -pi/2 is:&lt;br /&gt;
     BF     FF   39   07    60   20   43    5F&lt;br /&gt;
&lt;br /&gt;
(extracted from Users Reference Guide)&lt;/div&gt;</summary>
		<author><name>Stephen Shaw</name></author>
	</entry>
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