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 .
Some authors use the convention of the closed interval 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 of subnormal numbers.