• Decimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal...
    19 KB (2,398 words) - 20:22, 19 March 2025
  • Thumbnail for Floating-point arithmetic
    floating-point number in base ten with any finite number of digits. In practice, most floating-point systems use base two, though base ten (decimal floating...
    120 KB (14,305 words) - 16:53, 15 June 2025
  • standard. The standard defines: arithmetic formats: sets of binary and decimal floating-point data, which consist of finite numbers (including signed zeros and...
    65 KB (7,694 words) - 04:14, 11 June 2025
  • additional floating-point formats, including 32-bit base-2 single precision and, more recently, base-10 representations (decimal floating point). One of...
    19 KB (2,236 words) - 14:55, 10 May 2025
  • The IEEE 754-2008 standard includes decimal floating-point number formats in which the significand and the exponent (and the payloads of NaNs) can be encoded...
    6 KB (672 words) - 04:37, 24 December 2024
  • support for decimal floating point in some programming languages, like C# and Python, has removed most of the need for decimal fixed-point support. In...
    47 KB (6,419 words) - 02:39, 18 June 2025
  • included IEEE binary floating-point units which conform to the IEEE 754 Standard for Floating-Point Arithmetic. IEEE decimal floating-point was added to IBM...
    23 KB (2,208 words) - 07:34, 2 November 2024
  • ISO/IEC/IEEE 60559:2011 standards for decimal floating point. Like Chen–Ho encoding, DPD encoding classifies each decimal digit into one of two ranges, depending...
    11 KB (1,109 words) - 18:24, 28 May 2025
  • decimal64 is a decimal floating-point computer number format that occupies 8 bytes (64 bits) in computer memory. Decimal64 is a decimal floating-point format...
    16 KB (1,351 words) - 11:04, 7 March 2025
  • In computing, decimal128 is a decimal floating-point number format that occupies 128 bits in memory. Formally introduced in IEEE 754-2008, it is intended...
    12 KB (1,320 words) - 10:42, 7 March 2025
  • Thumbnail for Binary-coded decimal
    instruction sets (e.g., ARM; x86 in long mode). However, decimal fixed-point and decimal floating-point formats are still important and continue to be used...
    115 KB (8,484 words) - 15:33, 10 March 2025
  • Thumbnail for Decimal separator
    symbol can be called a decimal mark, decimal marker, or decimal sign. Symbol-specific names are also used; decimal point and decimal comma refer to a dot...
    55 KB (5,549 words) - 09:22, 17 June 2025
  • 32-bit base-2 floating-point variable has a maximum value of (2 − 2−23) × 2127 ≈ 3.4028235 × 1038. All integers with seven or fewer decimal digits, and...
    22 KB (3,093 words) - 08:09, 31 May 2025
  • In computing, decimal32 is a decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory. Like the binary16 and...
    18 KB (1,682 words) - 14:50, 19 March 2025
  • (modulus) of the significand m is at least 1 but less than 10. Decimal floating point is a computer arithmetic system closely related to scientific notation...
    44 KB (4,856 words) - 21:15, 16 June 2025
  • In computing, quadruple precision (or quad precision) is a binary floating-point–based computer number format that occupies 16 bytes (128 bits) with precision...
    29 KB (3,081 words) - 21:09, 21 April 2025
  • Thumbnail for IBM System z10
    Enterprise PL/I, XL C, and the z/OS Java BigDecimal class can exploit hardware decimal floating point. The System z10 processor adds numerous new instructions...
    15 KB (1,483 words) - 20:16, 25 August 2024
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    binary-coded decimal, especially in database implementations, but there are other decimal representations in use (including decimal floating point such as...
    42 KB (5,080 words) - 17:13, 27 May 2025
  • Thumbnail for Decimal computer
    directly support decimal is IBM's Power ISA, which added support for IEEE 754-2008 decimal floating-point starting with Power ISA 2.05. Decimal integer support...
    12 KB (1,351 words) - 12:52, 23 December 2024
  • Thumbnail for Z4 (computer)
    operations and memory cells. Numbers were entered and output as decimal floating-point even though the internal working was in binary. The machine had...
    21 KB (1,845 words) - 11:10, 4 April 2025
  • Add _Decimal32, _Decimal64, _Decimal128 keywords for (optional) decimal floating-point arithmetic (see "other" group) Labels can appear before declarations...
    39 KB (3,264 words) - 12:28, 4 June 2025
  • Thumbnail for Power ISA
    IEEE 754 compliant floating-point operations are supported, including additional fused multiply–add (FMA) and decimal floating-point instructions. There...
    23 KB (2,352 words) - 18:56, 8 April 2025
  • definition, floating-point error cannot be eliminated, and, at best, can only be managed. Huberto M. Sierra noted in his 1956 patent "Floating Decimal Point Arithmetic...
    10 KB (1,109 words) - 05:14, 26 May 2025
  • (approximately 71 decimal digits: log10(2237) ≈ 71.344). The bits are laid out as follows: The octuple-precision binary floating-point exponent is encoded...
    7 KB (739 words) - 20:53, 15 June 2025
  • Thumbnail for Setun
    interpreters—IP-2 (floating-point, 8 decimal digits), IP-3 (floating-point, 6 decimal digits), IP-4 (complex numbers, 8 decimal digits), IP-5 (floating-point, 12 decimal...
    19 KB (2,204 words) - 11:56, 19 June 2025
  • Thumbnail for Mike Cowlishaw
    C#, CLI), and IEEE (754 decimal floating-point). He retired from IBM in March 2010. Cowlishaw has worked on aspects of decimal arithmetic; his proposal...
    12 KB (991 words) - 16:08, 29 May 2025
  • of the x87 floating point: "An extended format as wide as we dared (80 bits) was included to serve the same support role as the 13 decimal internal format...
    36 KB (4,228 words) - 07:49, 12 April 2025
  • IEEE 854-1987 (category Floating point)
    floating-point standardisation. IEEE 854 arithmetic was first commercially implemented in the HP-71B handheld computer, which used decimal floating point...
    2 KB (228 words) - 21:04, 6 June 2025
  • 60559:2011-compatible binary floating-point arithmetic ISO/IEC TS 18661-2:2015, on IEC 60559:2011-compatible decimal floating point arithmetic ISO/IEC TS 18661-3:2015...
    18 KB (1,817 words) - 01:20, 16 April 2025
  • MVS Davidon-Fletcher-Powell formula in mathematical optimization Decimal floating point Defensive fighting position, a military term Department of Finance...
    780 bytes (115 words) - 21:31, 28 May 2025