Octuple-precision floating-point format: Difference between revisions

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Undid revision 1299849491 by Zinnober9 (talk)—see WP:PRE; you need these tags to make markup work inside the <pre> tags
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Restored revision 1299849491 by Zinnober9 (talk): Reverting tracked errors. Find another way.
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of the floating-point value. This includes the sign, (biased) exponent, and significand.
 
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0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = +0
8000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = −0
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7fff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = +infinity
ffff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = −infinity
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0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001<sub>16</sub>
= 2<sup>−262142</sup> × 2<sup>−236</sup> = 2<sup>−262378</sup>
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0000 0fff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff<sub>16</sub>
= 2<sup>−262142</sup> × (1 − 2<sup>−236</sup>)
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0000 1000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub>
= 2<sup>−262142</sup>
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7fff efff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff<sub>16</sub>
= 2<sup>262143</sup> × (2 − 2<sup>−236</sup>)
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3fff efff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff<sub>16</sub>
= 1 − 2<sup>−237</sup>
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3fff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub>
= 1 (one)
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3fff f000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0001<sub>16</sub>
= 1 + 2<sup>−236</sup>