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Comparison between Binary and Decimal Floating-Point Numbers
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DOI：10.1109/TC.2015.2479602.png)
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Abstract
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We introduce an algorithm to compare a binary floating-point (FP) number and a decimal FP number, assuming the binary encoding of the decimal formats is used, and with a special emphasis on the basic interchange formats specified by the IEEE 754-2008 standard for FP arithmetic. It is a two-step algorithm: a first pass, based on the exponents only, quickly eliminates most cases, then, when the first pass does not suffice, a more accurate second pass is performed. We provide an implementation of several variants of our algorithm, and compare them.
Keywords:
Floating-point arithmetic
comparisons
radix-10 arithmetic
binary arithmetic
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