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IBM hexadecimal floating-point
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=== Zero === :{| |- style="text-align:center" |style="width:20px;text-align:center;background-color:#FC9"|S |style="width:90px;text-align:center;background-color:#99F"|Exp |style="width:250px;text-align:center;background-color:#9F9"|Fraction |style="text-align:center;background-color:#FFF"| |- style="text-align:center" |style="text-align:center;background-color:#FEC"|{{mono|0}} |style="text-align:center;background-color:#CCF"|{{mono|000 0000}} |style="text-align:center;background-color:#CFC"|{{mono|0000 0000 0000 0000 0000 0000}} |style="text-align:center;background-color:#FFF"| |} Zero (0.0) is represented in normalized form as all zero bits, which is arithmetically the value +0.0<sub>16</sub> Γ 16<sup>0 β 64</sup> = +0 Γ 16<sup>β64</sup> β +0.000000 Γ 10<sup>β79</sup> = 0. Given a fraction of all-bits zero, any combination of positive or negative sign bit and a non-zero biased exponent will yield a value arithmetically equal to zero. However, the normalized form generated for zero by CPU hardware is all-bits zero. This is true for all three floating-point precision formats. Addition or subtraction with other exponent values can lose precision in the result.
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