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Quadruple-precision floating-point format: Difference between revisions

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These examples are given in bit ''representation'', in [[hexadecimal]], of the floating-point value. This includes the sign, (biased) exponent, and significand.
 
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0000 0000 0000 0000 0000 0000 0000 0001<sub>16</sub> = 2<sup>−16382</sup> × 2<sup>−112</sup> = 2<sup>−16494</sup>
≈ 6.4751751194380251109244389582276465525 × 10<sup>−4966</sup>
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0000 ffff ffff ffff ffff ffff ffff ffff<sub>16</sub> = 2<sup>−16382</sup> × (1 − 2<sup>−112</sup>)
≈ 3.3621031431120935062626778173217519551 × 10<sup>−4932</sup>
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0001 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = 2<sup>−16382</sup>
≈ 3.3621031431120935062626778173217526026 × 10<sup>−4932</sup>
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7ffe ffff ffff ffff ffff ffff ffff ffff<sub>16</sub> = 2<sup>16383</sup> × (2 − 2<sup>−112</sup>)
≈ 1.1897314953572317650857593266280070162 × 10<sup>4932</sup>
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3ffe ffff ffff ffff ffff ffff ffff ffff<sub>16</sub> = 1 − 2<sup>−113</sup>
≈ 0.9999999999999999999999999999999999037
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3fff 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = 1 (one)
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3fff 0000 0000 0000 0000 0000 0000 0001<sub>16</sub> = 1 + 2<sup>−112</sup>
≈ 1.0000000000000000000000000000000001926
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4000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = 2
c000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = −2
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0000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = 0
8000 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = −0
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7fff 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = infinity
ffff 0000 0000 0000 0000 0000 0000 0000<sub>16</sub> = −infinity
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4000 921f b544 42d1 8469 898c c517 01b8<sub>16</sub> ≈ 3.1415926535897932384626433832795027975
(closest approximation to π)
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3ffd 5555 5555 5555 5555 5555 5555 5555<sub>16</sub> ≈ 0.3333333333333333333333333333333333173
(closest approximation to 1/3)
Retrieved from "https://en.wikipedia.org/wiki/Quadruple-precision_floating-point_format"