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About This Item

 

Full Description

Scope

This standard specifies formats and operations for floating-point arithmetic in computer systems. Exception conditions are defined and handling of these conditions is specified.

Purpose

This standard provides a method for computation with floating-point numbers that will yield the same result whether the processing is done in hardware, software, or a combination of the two. The results of the computation will be identical, independent of implementation, given the same input data. Errors, and error conditions, in the mathematical processing will be reported in a consistent manner regardless of implementation.

Abstract

Revision Standard - Active. This standard specifies interchange and arithmetic formats and methods for binary and decimal floating-point arithmetic in computer programming environments. This standard specifies exception conditions and their default handling. An implementation of a floating-point system conforming to this standard may be realized entirely in software, entirely in hardware, or in any combination of software and hardware. For operations specified in the normative part of this standard, numerical results and exceptions are uniquely determined by the values of the input data, sequence of operations, and destination formats, all under user control.
 

Document History

  1. IEEE 754-2019

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    IEEE Standard for Floating-Point Arithmetic

    • Most Recent
  2. IEEE 754-2008


    IEEE Standard for Floating-Point Arithmetic

    • Historical Version
  3. IEEE 754-1985


    IEEE Standard for Binary Floating-Point Arithmetic

    • Historical Version