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  2. Floating-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Floating-point_arithmetic

    Converting a double-precision binary floating-point number to a decimal string is a common operation, but an algorithm producing results that are both accurate and minimal did not appear in print until 1990, with Steele and White's Dragon4. Some of the improvements since then include:

  3. Decimal data type - Wikipedia

    en.wikipedia.org/wiki/Decimal_data_type

    C# has a built-in data type decimal consisting of 128 bits resulting in 28–29 significant digits. It has an approximate range of ±1.0 × 10 −28 to ±7.9228 × 10 28. [1] Starting with Python 2.4, Python's standard library includes a Decimal class in the module decimal. [2] Ruby's standard library includes a BigDecimal class in the module ...

  4. IEEE 754 - Wikipedia

    en.wikipedia.org/wiki/IEEE_754

    The standard requires operations to convert between basic formats and external character sequence formats. [57] Conversions to and from a decimal character format are required for all formats. Conversion to an external character sequence must be such that conversion back using round to nearest, ties to even will recover the original number.

  5. Decimal floating point - Wikipedia

    en.wikipedia.org/wiki/Decimal_floating_point

    Decimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal (base-10) fractions can avoid the rounding errors that otherwise typically occur when converting between decimal fractions (common in human-entered data, such as measurements or financial ...

  6. PL/SQL - Wikipedia

    en.wikipedia.org/wiki/PL/SQL

    PL/SQL (Procedural Language ... dec, decimal, double precision, float, integer, int, numeric, real, small-int, binary_integer. ... To convert the dates to strings one ...

  7. Single-precision floating-point format - Wikipedia

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

    All integers with seven or fewer decimal digits, and any 2 n for a whole number −149 ≤ 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 referred to as binary32 ; it was called single in IEEE 754-1985 .

  8. Unum (number format) - Wikipedia

    en.wikipedia.org/wiki/Unum_(number_format)

    Convert decimal to posit 6, 8, 16, 32; generate tables 2–17 with es 1–4. N/A N/A; interactive widget Fully tested Table generator and conversion Universal. Stillwater Supercomputing, Inc C++ template library C library Python wrapper Golang library Arbitrary precision posit float valid (p) Unum type 1 (p) Unum type 2 (p)

  9. IEEE 754-1985 - Wikipedia

    en.wikipedia.org/wiki/IEEE_754-1985

    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. The decimal number 0.15625 10 represented in binary is 0.00101 2 (that is, 1/8 + 1/32).