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  2. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    Approximating a fraction by a fractional decimal number: 5 / 3 1.6667: 4 decimal places: Approximating a fractional decimal number by one with fewer digits 2.1784: 2.18 2 decimal places Approximating a decimal integer by an integer with more trailing zeros 23217: 23200: 3 significant figures Approximating a large decimal integer using ...

  3. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    1: 8: 23 Double: 1: 11: 52 ... Since round-by-chop is being used, ... Machine addition consists of lining up the decimal points of the two numbers to be added, adding ...

  4. Round number - Wikipedia

    en.wikipedia.org/wiki/Round_number

    A round number is mathematically defined as an integer which is the product of a considerable number of comparatively small factors [12] [13] as compared to its neighboring numbers, such as 24 = 2 × 2 × 2 × 3 (4 factors, as opposed to 3 factors for 27; 2 factors for 21, 22, 25, and 26; and 1 factor for 23).

  5. Double-precision floating-point format - Wikipedia

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

    Integers between 2 53 and 2 54 = 18,014,398,509,481,984 round to a multiple of 2 (even number). Integers between 2 54 and 2 55 = 36,028,797,018,963,968 round to a multiple of 4. Integers between 2 n and 2 n+1 round to a multiple of 2 n−52.

  6. Computer number format - Wikipedia

    en.wikipedia.org/wiki/Computer_number_format

    1.1030402E5. which means "1.1030402 times 1 followed by 5 zeroes". We have a certain numeric value (1.1030402) known as a "significand", multiplied by a power of 10 (E5, meaning 10 5 or 100,000), known as an "exponent". If we have a negative exponent, that means the number is multiplied by a 1 that many places to the right of the decimal point.

  7. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    For example, older televisions have a 4:3 aspect ratio, which means that the width is 4/3 of the height (this can also be expressed as 1.33:1 or just 1.33 rounded to two decimal places). More recent widescreen TVs have a 16:9 aspect ratio, or 1.78 rounded to two decimal places. One of the popular widescreen movie formats is 2.35:1 or simply 2.35.

  8. IEEE 754 - Wikipedia

    en.wikipedia.org/wiki/IEEE_754

    The width of the exponent field for a k-bit format is computed as w = round(4 log 2 (k)) − 13. The existing 64- and 128-bit formats follow this rule, but the 16- and 32-bit formats have more exponent bits (5 and 8 respectively) than this formula would provide (3 and 7 respectively).

  9. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    For example, in duodecimal, ⁠ 1 / 2 ⁠ = 0.6, ⁠ 1 / 3 ⁠ = 0.4, ⁠ 1 / 4 ⁠ = 0.3 and ⁠ 1 / 6 ⁠ = 0.2 all terminate; ⁠ 1 / 5 ⁠ = 0. 2497 repeats with period length 4, in contrast with the equivalent decimal expansion of 0.2; ⁠ 1 / 7 ⁠ = 0. 186A35 has period 6 in duodecimal, just as it does in decimal. If b is an integer base ...