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  2. Scale factor (computer science) - Wikipedia

    en.wikipedia.org/wiki/Scale_factor_(computer...

    A scale factor of 1 ⁄ 10 cannot be used here, because scaling 160 by 1 ⁄ 10 gives 16, which is greater than the greatest value that can be stored in this fixed-point format. However, 1 ⁄ 11 will work as a scale factor, because the maximum scaled value, 160 ⁄ 11 = 14. 54, fits within this range. Given this set:

  3. Double-precision floating-point format - Wikipedia

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

    Given the hexadecimal representation 3FD5 5555 5555 5555 16, Sign = 0 Exponent = 3FD 16 = 1021 Exponent Bias = 1023 (constant value; see above) Fraction = 5 5555 5555 5555 16 Value = 2 (Exponent − Exponent Bias) × 1.Fraction – Note that Fraction must not be converted to decimal here = 2 −2 × (15 5555 5555 5555 16 × 2 −52) = 2 −54 ...

  4. Floating-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Floating-point_arithmetic

    On a typical computer system, a double-precision (64-bit) binary floating-point number has a coefficient of 53 bits (including 1 implied bit), an exponent of 11 bits, and 1 sign bit. Since 2 10 = 1024, the complete range of the positive normal floating-point numbers in this format is from 2 −1022 ≈ 2 × 10 −308 to approximately 2 1024 ≈ ...

  5. Half-precision floating-point format - Wikipedia

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

    Sign bit: 1 bit; Exponent width: 5 bits; Significand precision: 11 bits (10 explicitly stored) The format is laid out as follows: The format is assumed to have an implicit lead bit with value 1 unless the exponent field is stored with all zeros. Thus, only 10 bits of the significand appear in the memory format but the total precision is 11 bits.

  6. Fixed-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_arithmetic

    The VisSim company used fx m. b to denote a binary fixed-point value with b total bits and m bits in the integer part; that is, a b-bit integer with scaling factor 1/2 b−m. Thus fx1.16 would mean a 16-bit number with 1 bit in the integer part and 15 in the fraction. [13] The PS2 GS ("Graphics Synthesizer") User's Guide uses the notation s: m ...

  7. Extended precision - Wikipedia

    en.wikipedia.org/wiki/Extended_precision

    1: anything: Pseudo Denormal. The 80387 and later properly interpret this value but will not generate it. The value is (−1) s × m × 2 −16382 bits 78–64 bits 63–62 bits 61–0; all 1: 00: 0: Pseudo-infinity. The sign bit gives the sign of the infinity. The 8087 and 80287 treat this as Infinity. The 80387 and later treat this as an ...

  8. Java syntax - Wikipedia

    en.wikipedia.org/wiki/Java_syntax

    32-bit (4-byte) 0.0f [4] double: java.lang.Double: floating point number ±4.94065645841246E−324 through ±1.79769313486232E+308 64-bit (8-byte) 0.0: boolean: java.lang.Boolean: Boolean true or false: 1-bit (1-bit) false: char: java.lang.Character: UTF-16 code unit (BMP character or a part of a surrogate pair) '\u0000' through '\uFFFF' 16-bit ...

  9. Bit numbering - Wikipedia

    en.wikipedia.org/wiki/Bit_numbering

    When the bit numbering starts at zero for the least significant bit (LSb) the numbering scheme is called LSb 0. [1] This bit numbering method has the advantage that for any unsigned number the value of the number can be calculated by using exponentiation with the bit number and a base of 2. [ 2 ]