IEEE 754 floating‑point arithmetic standard

E1460

IEEE standard floating‑point arithmetic standard numerical computing standard

The IEEE 754 floating‑point arithmetic standard is the globally adopted specification that defines formats and rules for representing and performing binary and decimal floating‑point calculations in computer systems.

Jump to: Surface forms Statements Referenced by

Observed surface forms (5)

Surface form	Occurrences
IEEE 754	2
IEEE 754 double precision	1
IEEE 754 floating-point	1
IEEE 754 floating-point standard	1
IEEE Standard for Floating‑Point Arithmetic	1

Statements (52)

Predicate	Object
instanceOf	IEEE standard ⓘ floating‑point arithmetic standard ⓘ numerical computing standard ⓘ
appliesTo	computer hardware ⓘ computer software ⓘ numerical libraries ⓘ programming languages ⓘ
defines	binary floating‑point formats ⓘ decimal floating‑point formats ⓘ exception handling for floating‑point arithmetic ⓘ floating‑point environment ⓘ floating‑point exceptions ⓘ floating‑point number formats ⓘ floating‑point operations semantics ⓘ floating‑point rounding modes ⓘ rounding rules for floating‑point arithmetic ⓘ signed zero in floating‑point arithmetic ⓘ special values such as NaN and infinity ⓘ subnormal numbers ⓘ
fullName	IEEE 754 floating‑point arithmetic standard self-linksurface differs ⓘ surface form: IEEE Standard for Floating‑Point Arithmetic
goal	ensure consistent floating‑point behavior across platforms ⓘ improve portability of numerical software ⓘ support reproducible floating‑point results ⓘ
influenced	.NET floating‑point behavior ⓘ C programming language floating‑point semantics ⓘ C++ programming language floating‑point semantics ⓘ Java floating‑point arithmetic ⓘ most modern CPU floating‑point units ⓘ
publishedBy	IEEE Standards Association ⓘ Institute of Electrical and Electronics Engineers ⓘ
specifies	NaN payload and signaling behavior ⓘ decimal128 format ⓘ decimal32 format ⓘ decimal64 format ⓘ division by zero exception ⓘ double‑precision binary64 format ⓘ extended precision binary formats ⓘ floating‑point encoding layouts ⓘ floating‑point rounding to nearest ties‑to‑even ⓘ inexact result exception ⓘ invalid operation exception ⓘ overflow handling ⓘ quadruple‑precision binary128 format ⓘ quiet NaN ⓘ round to nearest ties‑away ⓘ round toward +infinity ⓘ round toward zero ⓘ round toward −infinity ⓘ signaling NaN ⓘ single‑precision binary32 format ⓘ underflow handling ⓘ
standardNumber	IEEE 754 floating‑point arithmetic standard self-linksurface differs ⓘ surface form: IEEE 754

Referenced by (7)

Full triples — surface form annotated when it differs from this entity's canonical label.

VFP floating-point extension → conformsTo → IEEE 754 floating‑point arithmetic standard ⓘ

this entity surface form: IEEE 754 floating-point standard

IEEE Standards Association → develops → IEEE 754 floating‑point arithmetic standard ⓘ

IEEE 754 floating‑point arithmetic standard → fullName → IEEE 754 floating‑point arithmetic standard self-linksurface differs ⓘ

this entity surface form: IEEE Standard for Floating‑Point Arithmetic

IEEE standards → includesExample → IEEE 754 floating‑point arithmetic standard ⓘ

this entity surface form: IEEE 754

JSON → numberFormat → IEEE 754 floating‑point arithmetic standard ⓘ

this entity surface form: IEEE 754 double precision

IEEE 754 floating‑point arithmetic standard → standardNumber → IEEE 754 floating‑point arithmetic standard self-linksurface differs ⓘ

this entity surface form: IEEE 754

SPARC microprocessor architecture → supports → IEEE 754 floating‑point arithmetic standard ⓘ

subject surface form: SPARC

this entity surface form: IEEE 754 floating-point