Fractional part

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For a positive number written in a conventional positional numeral system (such as binary or decimal), its fractional part hence corresponds to the digits appearing after the radix point. Fractional part_sentence_0

For negative numbers Fractional part_section_0

The fractional part defined via difference from ⌊ ⌋ is usually denoted by curly braces: Fractional part_sentence_1

Its range is the half-open interval [0, 1). Fractional part_sentence_2

For opposite numbers fractional parts complement as follows: Fractional part_sentence_3

Relation to continued fractions Fractional part_section_1

Every real number can be essentially uniquely represented as a continued fraction, namely as the sum of its integer part and the reciprocal of its fractional part which is written as the sum of its integer part and the reciprocal of its fractional part, and so on. Fractional part_sentence_4

See also Fractional part_section_2

Fractional part_unordered_list_0


Credits to the contents of this page go to the authors of the corresponding Wikipedia page: en.wikipedia.org/wiki/Fractional part.