• The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute...
    62 KB (7,508 words) - 17:24, 1 July 2024
  • IEEE 754-1985 is a historic industry standard for representing floating-point numbers in computers, officially adopted in 1985 and superseded in 2008 by...
    33 KB (3,222 words) - 11:21, 23 January 2024
  • IEEE 754-2008 (previously known as IEEE 754r) is a revision of the IEEE 754 standard for floating-point arithmetic. It was published in August 2008 and...
    16 KB (2,226 words) - 08:59, 26 June 2024
  • Thumbnail for Floating-point arithmetic
    "trap" in IEEE 754 terminology.) Here, the required default method of handling exceptions according to IEEE 754 is discussed (the IEEE 754 optional trapping...
    117 KB (14,079 words) - 16:19, 25 June 2024
  • n ≤ 127, can be converted exactly into an IEEE 754 single-precision floating-point value. In the IEEE 754 standard, the 32-bit base-2 format is officially...
    21 KB (3,070 words) - 15:04, 23 May 2024
  • wider precision was already in view when IEEE Standard 754 for Floating-Point Arithmetic was framed." In IEEE 754-2008 the 128-bit base-2 format is officially...
    28 KB (3,038 words) - 02:54, 5 July 2024
  • insufficient. In the IEEE 754 standard, the 64-bit base-2 format is officially referred to as binary64; it was called double in IEEE 754-1985. IEEE 754 specifies...
    19 KB (1,853 words) - 15:00, 23 May 2024
  • image processing and neural networks. Almost all modern uses follow the IEEE 754-2008 standard, where the 16-bit base-2 format is referred to as binary16...
    21 KB (1,837 words) - 02:53, 5 July 2024
  • condition, saves state, and switches control. Exception handling in the IEEE 754 floating-point standard refers in general to exceptional conditions and...
    17 KB (1,806 words) - 04:12, 1 December 2023
  • such as the result of 0/0. Systematic use of NaNs was introduced by the IEEE 754 floating-point standard in 1985, along with the representation of other...
    29 KB (3,688 words) - 01:57, 5 July 2024
  • Motorola 68881 80-bit formats meet the requirements of the IEEE 754-1985 double extended format, as does the IEEE 754 128-bit binary format. The x86 extended precision...
    35 KB (4,025 words) - 00:19, 30 April 2024
  • of IEEE 754. In casual discussions the terms subnormal and denormal are often used interchangeably, in part because there are no denormalized IEEE binary...
    17 KB (1,915 words) - 11:10, 23 May 2024
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    implementations make better use of available computer hardware, such as IEEE 754-1985 floating-point arithmetic, and compiler technology. The C11 version...
    29 KB (2,614 words) - 05:27, 26 February 2024
  • for interchange with other systems. This was subsequently addressed in IEEE 754-2008, which standardized the encoding of decimal floating-point data, albeit...
    19 KB (2,373 words) - 21:08, 21 June 2023
  • environments support it.[according to whom?] In its 2008 revision, the IEEE 754 standard specifies a binary256 format among the interchange formats (it...
    7 KB (737 words) - 04:32, 12 June 2024
  • radix point. This format is a shortened (16-bit) version of the 32-bit IEEE 754 single-precision floating-point format (binary32) with the intent of accelerating...
    30 KB (1,800 words) - 16:22, 1 July 2024
  • usually encoded as +0, but can still be represented by +0, −0, or 0. The IEEE 754 standard for floating-point arithmetic (presently used by most computers...
    13 KB (1,504 words) - 16:26, 20 June 2024
  • 10. IEEE 854 did not specify any data formats, whereas IEEE 754-1985 did specify formats for binary (radix 2) floating point. IEEE 754-1985 and IEEE 854-1987...
    2 KB (228 words) - 02:25, 15 January 2023
  • Thumbnail for William Kahan
    creating the original IEEE 754 specification. Kahan continued his contributions to the IEEE 754 revision that led to the current IEEE 754 standard. In the...
    8 KB (657 words) - 01:14, 12 February 2024
  • intended to be application-compatible with System/360. In comparison to IEEE 754 floating point, the HFP format has a longer significand, and a shorter...
    23 KB (2,195 words) - 11:45, 10 May 2024
  • In particular, the current IEEE 754 standard does not mention it. Mantissa (logarithm) The term fraction is used in IEEE 754-1985 with a different meaning:...
    13 KB (1,418 words) - 07:22, 5 April 2024
  • was abandoned during the move to QuickBASIC 4, which used the standard IEEE 754 format, introduced a few years earlier. Bill Gates and Paul Allen were...
    38 KB (3,392 words) - 08:16, 22 June 2024
  • demonstrate the properties and structures of floating-point arithmetic and IEEE 754 numbers. Minifloats with 16 bits are half-precision numbers (opposed to...
    20 KB (1,852 words) - 03:55, 27 June 2024
  • Gustafson in 2015. They are designed as an alternative to the ubiquitous IEEE 754 floating-point standard. The latest version is known as posits. The first...
    42 KB (2,744 words) - 11:50, 25 April 2024
  • power functions for the revision of the IEEE 754 standard, May 2007.) "Re: A vague specification". grouper.ieee.org. Archived from the original on 2017-11-14...
    29 KB (2,973 words) - 06:25, 31 May 2024
  • Electrical and Electronics Engineers Standards Association (IEEE SA) is an operating unit within IEEE that develops global standards in a broad range of industries...
    27 KB (2,504 words) - 00:26, 23 November 2023
  • using channel commands and, in later models, added instructions to perform IEEE 754 floating-point operations and increased the number of floating-point registers...
    47 KB (1,079 words) - 19:59, 27 June 2024
  • Thumbnail for Rounding
    rounding, or bankers' rounding. This is the default rounding mode used in IEEE 754 operations for results in binary floating-point formats. By eliminating...
    66 KB (8,354 words) - 20:07, 28 June 2024
  • Thumbnail for Fast inverse square root
    the square root of a 32-bit floating-point number x {\displaystyle x} in IEEE 754 floating-point format. The algorithm is best known for its implementation...
    34 KB (4,544 words) - 16:27, 22 May 2024
  • Thumbnail for JSON
    makes no distinction between integer and floating-point. JavaScript uses IEEE-754 double-precision floating-point format for all its numeric values (later...
    45 KB (4,810 words) - 03:09, 27 June 2024