IEEE 754

Binary floating-point specification

IEEE 754 is the technical standard governing how computers represent and calculate floating-point numbers—the format used for decimals and very large or small values.

The standard defines formats like single precision (32-bit) and double precision (64-bit), along with rules for rounding and handling special values like infinity and NaN (not a number).

Most modern processors and programming languages implement IEEE 754, making floating-point behavior consistent across systems.

Related

NaN · infinity · overflow · underflow · rounding · double · single · bits · sign · normalized · truncation · arithmetic · standard · computation · representation · epsilon · bias · CPU

Categories
Opposites
numeric representation type

IEEE 754BCD

Decimal-to-binary number format

precision philosophy

IEEE 754GMP

Manufacturing compliance framework

Mathematica · decimal arithmetic

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