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  2. Single-precision floating-point format - Wikipedia

    en.wikipedia.org/wiki/Single-precision_floating...

    Single-precision floating-point format (sometimes called FP32 or float32) is a computer number format, usually occupying 32 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point. A floating-point variable can represent a wider range of numbers than a fixed-point variable of the same bit ...

  3. IEEE 754-1985 - Wikipedia

    en.wikipedia.org/wiki/IEEE_754-1985

    The number 0.15625 represented as a single-precision IEEE 754-1985 floating-point number. See text for explanation. The three fields in a 64bit IEEE 754 float. Floating-point numbers in IEEE 754 format consist of three fields: a sign bit, a biased exponent, and a fraction. The following example illustrates the meaning of each.

  4. Floating-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Floating-point_arithmetic

    The UNIVAC 1100/2200 series, introduced in 1962, supported two floating-point representations: Single precision: 36 bits, organized as a 1-bit sign, an 8-bit exponent, and a 27-bit significand. Double precision: 72 bits, organized as a 1-bit sign, an 11-bit exponent, and a 60-bit significand.

  5. IEEE 754 - Wikipedia

    en.wikipedia.org/wiki/IEEE_754

    The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic originally 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 ...

  6. Precision (computer science) - Wikipedia

    en.wikipedia.org/wiki/Precision_(computer_science)

    Quadruple-precision floating-point format; Octuple-precision floating-point format; Of these, octuple-precision format is rarely used. The single- and double-precision formats are most widely used and supported on nearly all platforms. The use of half-precision format has been increasing especially in the field of machine learning since many ...

  7. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    The last two examples illustrate what happens if x is a rather small number. In the second from last example, x = 1.110111⋯111 × 2 −50 ; 15 bits altogether. The binary is replaced very crudely by a single power of 2 (in this example, 2 −49) and its decimal equivalent is used.

  8. Floating-point unit - Wikipedia

    en.wikipedia.org/wiki/Floating-point_unit

    Collection of the x87 family of math coprocessors by Intel. A floating-point unit (FPU), numeric processing unit (NPU), [1] colloquially math coprocessor, is a part of a computer system specially designed to carry out operations on floating-point numbers. [2] Typical operations are addition, subtraction, multiplication, division, and square root.

  9. Floating point operations per second - Wikipedia

    en.wikipedia.org/wiki/Floating_point_operations...

    This standard defines the format for 32-bit numbers called single precision, as well as 64-bit numbers called double precision and longer numbers called extended precision (used for intermediate results). Floating-point representations can support a much wider range of values than fixed-point, with the ability to represent very small numbers ...

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