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Binade

Interval of binary floating-point numbers with a common sign and exponent From Wikipedia, the free encyclopedia

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In software engineering and numerical analysis, a binade is a set of numbers in a binary floating-point format that all have the same sign and exponent. In other words, a binade is the interval or for some integer value , that is, the set of real numbers or floating-point numbers of the same sign such that .[1][2][3]

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The binade of exponent 2 in the floating-point numbers with 3 bits of precision and minimum exponent 5

Some authors use the convention of the closed interval instead of a half-open interval,[4] sometimes using both conventions in a single paper.[5] Some authors additionally treat each of various special quantities such as NaN, infinities, and zeroes as its own binade,[6] or similarly for the exceptional interval of subnormal numbers.[7]

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