Binade

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
^e, 2^) or (-2^, -2^e/math>
for some integer value $e$, that is, the set of real numbers or floating-point numbers $x$ of the same sign such that
$2^e \leq , x, < 2^$.

Some authors use the convention of the closed interval ^e, 2^/math> 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 $(0, 2^)$ of subnormal numbers.

See also

* Floating-point arithmetic
* IEEE 754
* Significand

References

{{reflist

Computer arithmetic
Floating point