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  2. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    The continued fraction representation for a real number is finite if and only if it is a rational number. In contrast, the decimal representation of a rational number may be finite, for example ⁠ 137 / 1600 ⁠ = 0.085625, or infinite with a repeating cycle, for example ⁠ 4 / 27 ⁠ = 0.148148148148...

  3. decimal64 floating-point format - Wikipedia

    en.wikipedia.org/wiki/Decimal64_floating-point...

    - Different understanding of significand as integer or fraction, and acc. different bias to apply for the exponent (for decimal64 what is stored in bits can be decoded as base to the power of 'stored value for the exponent minus bias of 383' times significand understood as d 0. d −1 d −2 d −3 d −4 d −5 d −6 d −7 d −8 d −9 d ...

  4. Decimal data type - Wikipedia

    en.wikipedia.org/wiki/Decimal_data_type

    Most decimal fractions (or most fractions in general) cannot be represented exactly as a fraction with a denominator that is a power of two. For example, the simple decimal fraction 0.3 (3 ⁄ 10) might be represented as 5404319552844595 ⁄ 18014398509481984 (0.299999999999999988897769…). This inexactness causes many problems that are ...

  5. Fixed-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_arithmetic

    However, most decimal fractions like 0.1 or 0.123 are infinite repeating fractions in base 2. and hence cannot be represented that way. Similarly, any decimal fraction a/10 m, such as 1/100 or 37/1000, can be exactly represented in fixed point with a power-of-ten scaling factor 1/10 n with any n ≥ m.

  6. List of number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_number_theory_topics

    Unit fraction; Irreducible fraction = in lowest terms; Dyadic fraction; Recurring decimal; Cyclic number; Farey sequence. Ford circle; Stern–Brocot tree; Dedekind sum;

  7. Duodecimal - Wikipedia

    en.wikipedia.org/wiki/Duodecimal

    The duodecimal system, also known as base twelve or dozenal, is a positional numeral system using twelve as its base.In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten.

  8. Extended precision - Wikipedia

    en.wikipedia.org/wiki/Extended_precision

    Thus, a value such as 10.15, is represented in binary as equivalent to 10.1499996185 etc. in decimal for REAL*4 but 10.15000000000000035527 etc. in REAL*8: inter-conversion will involve approximation, except for those few decimal fractions that represent an exact binary value, such as 0.625 .

  9. Moon - Wikipedia

    en.wikipedia.org/wiki/Moon

    The Moon is Earth's only natural satellite.It orbits at an average distance of 384,400 km (238,900 mi), about 30 times the diameter of Earth. Tidal forces between Earth and the Moon have synchronized the Moon's orbital period (lunar month) with its rotation period at 29.5 Earth days, causing the same side of the Moon to always face Earth.