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  2. Significant figures - Wikipedia

    en.wikipedia.org/wiki/Significant_figures

    Zeros between two significant non-zero digits are significant (significant trapped zeros). 101.12003 consists of eight significant figures if the resolution is to 0.00001. 125.340006 has seven significant figures if the resolution is to 0.0001: 1, 2, 5, 3, 4, 0, and 0. Zeros to the left of the first non-zero digit (leading zeros) are not ...

  3. Self-descriptive number - Wikipedia

    en.wikipedia.org/wiki/Self-descriptive_number

    Because leading zeros are not written down, every autobiographical number contains at least one zero, so that its first digit is nonzero. Considering a hypothetical case where the digits are treated in the opposite order: the units is the count of zeros, the 10s the count of ones, and so on, there are no such self-describing numbers.

  4. Leading zero - Wikipedia

    en.wikipedia.org/wiki/Leading_zero

    Leading zeros are also present whenever the number of digits is fixed by the technical system (such as in a memory register), but the stored value is not large enough to result in a non-zero most significant digit. [7] The count leading zeros operation efficiently determines the number of leading zero bits in a machine word. [8]

  5. Find first set - Wikipedia

    en.wikipedia.org/wiki/Find_first_set

    This is closely related to count leading zeros (clz) or number of leading zeros (nlz), which counts the number of zero bits preceding the most significant one bit. [ nb 2 ] There are two common variants of find first set, the POSIX definition which starts indexing of bits at 1, [ 2 ] herein labelled ffs, and the variant which starts indexing of ...

  6. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    A significant figure is a digit in a number that adds to its precision. This includes all nonzero numbers, zeroes between significant digits, and zeroes indicated to be significant. Leading and trailing zeroes are not significant digits, because they exist only to show the scale of the number. Unfortunately, this leads to ambiguity.

  7. Subnormal number - Wikipedia

    en.wikipedia.org/wiki/Subnormal_number

    Notice that for a binary radix, the leading binary digit is always 1. In a subnormal number, since the exponent is the least that it can be, zero is the leading significant digit (0.m 1 m 2 m 3...m p−2 m p−1), allowing the representation of numbers closer to zero than the smallest normal number. A floating-point number may be recognized as ...

  8. Normalized number - Wikipedia

    en.wikipedia.org/wiki/Normalized_number

    That is, its leading digit (i.e., leftmost) is not zero and is followed by the decimal point. Simply speaking, a number is normalized when it is written in the form of a × 10 n where 1 ≤ |a| < 10 without leading zeros in a. This is the standard form of scientific notation. An alternative style is to have the first non-zero digit after the ...

  9. Block floating point - Wikipedia

    en.wikipedia.org/wiki/Block_floating_point

    The common exponent is found by data with the largest amplitude in the block. To find the value of the exponent, the number of leading zeros must be found (count leading zeros). For this to be done, the number of left shifts needed for the data must be normalized to the dynamic range of the processor used.