Normal number (computing): Difference between revisions

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In the [[IEEE 754]] binary and proposed decimal formats, ''p'', ''emin'', and ''emax'' have the following values:
{| class="wikitable"
<table cellpadding=8><tr><td><table cellpadding=4 border=1>
!Format!!p!!emin!!emax
<tr valign=top>
|-
<td><b>Format</b>
|binary 32-bit||24||−126||127
</td><td><b><i>p</i></b>
|-
</td><td><b><i>emin</i></b>
|binary 64-bit||53||−1022||1023
</td><td><b><i>emax</i></b>
|-
</tr><tr valign=top>
</td><td>|binary 32128-bit||113||−16382||16383
|-
</td><td>24
|decimal 32-bit||7||−95||96
</td><td>&minus;126
|-
</td><td>127
|decimal 64-bit||16||−383||384
</tr><tr valign=top>
|-
</td><td>binary 64-bit
|decimal 128-bit||34||−6143||6144
</td><td>53
|}
</td><td>&minus;1022
</td><td>1023
</tr><tr valign=top>
</td><td>binary 128-bit
</td><td>113
</td><td>&minus;16382
</td><td>16383
</tr><tr valign=top>
</td><td>decimal 32-bit
</td><td>7
</td><td>&minus;95
</td><td>96
</tr><tr valign=top>
</td><td>decimal 64-bit
</td><td>16
</td><td>&minus;383
</td><td>384
</tr><tr valign=top>
</td><td>decimal 128-bit
</td><td>34
</td><td>&minus;6143
</td><td>6144
</table></td></tr></table>
 
For example, in the smallest decimal format, the range of positive normal numbers is 10<sup>&minus;95</sup> through 9.999999 &times; 10<sup>96</sup>.