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  2. Numeric precision in Microsoft Excel - Wikipedia

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

    Similar is done by other spreadsheets, the handling of the different amount of decimal digits which can be exactly stored in the 53 bit mantissa of a 'double' (e.g. 16 digits between 1 and 8, but only 15 between ⁠ 1 / 2 ⁠ and 1 and between 8 and 10) is somewhat difficult and solved 'suboptimal'.

  3. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    In the IEEE standard the base is binary, i.e. =, and normalization is used. The IEEE standard stores the sign, exponent, and significand in separate fields of a floating point word, each of which has a fixed width (number of bits).

  4. Floating-point error mitigation - Wikipedia

    en.wikipedia.org/wiki/Floating-point_error...

    Huberto M. Sierra noted in his 1956 patent "Floating Decimal Point Arithmetic Control Means for Calculator": [1] Thus under some conditions, the major portion of the significant data digits may lie beyond the capacity of the registers. Therefore, the result obtained may have little meaning if not totally erroneous.

  5. Decimal separator - Wikipedia

    en.wikipedia.org/wiki/Decimal_separator

    A decimal separator is a symbol that separates the integer part from the fractional part of a number written in decimal form. Different countries officially designate different symbols for use as the separator. The choice of symbol can also affect the choice of symbol for the thousands separator used in digit grouping.

  6. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    With decimal arithmetic, final digits of 0 and 5 are avoided; if there is a choice between numbers with the least significant digit 0 or 1, 4 or 5, 5 or 6, 9 or 0, then the digit different from 0 or 5 shall be selected; otherwise, the choice is arbitrary. IBM defines that, in the latter case, a digit with the smaller magnitude shall be selected ...

  7. Decimal floating point - Wikipedia

    en.wikipedia.org/wiki/Decimal_floating_point

    Two different representations are defined: One with a binary integer significand field encodes the significand as a large binary integer between 0 and 10 p −1. This is expected to be more convenient for software implementations using a binary ALU. Another with a densely packed decimal significand field encodes decimal digits more directly ...

  8. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_systems

    A binary clock might use LEDs to express binary values. In this clock, each column of LEDs shows a binary-coded decimal numeral of the traditional sexagesimal time.. The common names are derived somewhat arbitrarily from a mix of Latin and Greek, in some cases including roots from both languages within a single name. [27]

  9. Data validation - Wikipedia

    en.wikipedia.org/wiki/Data_validation

    Checks to ascertain that only expected characters are present in a field. For example a numeric field may only allow the digits 0–9, the decimal point and perhaps a minus sign or commas. A text field such as a personal name might disallow characters used for markup. An e-mail address might require at least one @ sign and various other ...