Interval of binary floating-point numbers with a common sign and exponent
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
formula_1 or formula_2
for some integer value formula_3, that is, the set of real numbers or floating-point numbers formula_4 of the same sign such that
formula_5.
Some authors use the convention of the closed interval formula_6 instead of a half-open interval,
sometimes using both conventions in a single paper.
Some authors additionally treat each of various special quantities such as NaN, infinities, and zeroes as its own binade,
or similarly for the exceptional interval formula_7 of subnormal numbers.
References.
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