IEEE Floating Point Standard - définition. Qu'est-ce que IEEE Floating Point Standard
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Qu'est-ce (qui) est IEEE Floating Point Standard - définition

IEEE STANDARD FOR FLOATING-POINT ARITHMETIC
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  • none
  • Precision of binary32 and binary64 in the range 10<sup>−12</sup> to 10<sup>12</sup>
  • [[William Kahan]]. A primary architect of the Intel [[80x87]] floating-point coprocessor and IEEE 754 floating-point standard.

IEEE Floating Point Standard         
<standard, mathematics> (IEEE 754) "IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985)" or IEC 559: "Binary floating-point arithmetic for microprocessor systems". A standard, used by many CPUs and FPUs, which defines formats for representing floating-point numbers; representations of special values (e.g. infinity, very small values, NaN); five exceptions, when they occur, and what happens when they do occur; four rounding modes; and a set of floating-point operations that will work identically on any conforming system. IEEE 754 specifies formats for representing floating-point values: single-precision (32-bit) is required, double-precision (64-bit) is optional. The standard also mentions that some implementations may include single-extended precision (80-bit) and double-extended precision (128-bit) formats. [On-line document?] (2003-06-17)
IEEE 754         
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made them difficult to use reliably and portably.
IEC 559         

Wikipédia

IEEE 754

The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made them difficult to use reliably and portably. Many hardware floating-point units use the IEEE 754 standard.

The standard defines:

  • arithmetic formats: sets of binary and decimal floating-point data, which consist of finite numbers (including signed zeros and subnormal numbers), infinities, and special "not a number" values (NaNs)
  • interchange formats: encodings (bit strings) that may be used to exchange floating-point data in an efficient and compact form
  • rounding rules: properties to be satisfied when rounding numbers during arithmetic and conversions
  • operations: arithmetic and other operations (such as trigonometric functions) on arithmetic formats
  • exception handling: indications of exceptional conditions (such as division by zero, overflow, etc.)

IEEE 754-2008, published in August 2008, includes nearly all of the original IEEE 754-1985 standard, plus the IEEE 854-1987 Standard for Radix-Independent Floating-Point Arithmetic. The current version, IEEE 754-2019, was published in July 2019. It is a minor revision of the previous version, incorporating mainly clarifications, defect fixes and new recommended operations.