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  2. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    This is the repeating decimal notation (to which there does not exist a single universally accepted notation or phrasing). For base 10 it is called a repeating decimal or recurring decimal. An irrational number has an infinite non-repeating representation in all integer bases.

  3. Fixed-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_arithmetic

    A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...

  4. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    This is also a repeating binary fraction 0.0 0011... . It may come as a surprise that terminating decimal fractions can have repeating expansions in binary. It is for this reason that many are surprised to discover that 1/10 + ... + 1/10 (addition of 10 numbers) differs from 1 in binary floating point arithmetic. In fact, the only binary ...

  5. Repdigit - Wikipedia

    en.wikipedia.org/wiki/Repdigit

    In recreational mathematics, a repdigit or sometimes monodigit [1] is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of "repeated" and "digit". Examples are 11, 666, 4444, and 999999. All repdigits are palindromic numbers and are multiples of ...

  6. List of number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_number_theory_topics

    Simple continued fraction. Mathematical constant (sorted by continued fraction representation) Khinchin's constant; Lévy's constant; Lochs' theorem; Gauss–Kuzmin–Wirsing operator; Minkowski's question mark function; Generalized continued fraction; Kronecker's theorem; Thue–Siegel–Roth theorem; Prouhet–Thue–Morse constant; Gelfond ...

  7. Octal - Wikipedia

    en.wikipedia.org/wiki/Octal

    Octal (base 8) is a numeral system with eight as the base.. In the decimal system, each place is a power of ten.For example: = + In the octal system, each place is a power of eight.

  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. Air–fuel ratio - Wikipedia

    en.wikipedia.org/wiki/Air–fuel_ratio

    Air–fuel ratio (AFR) is the mass ratio of air to a solid, liquid, or gaseous fuel present in a combustion process. The combustion may take place in a controlled manner such as in an internal combustion engine or industrial furnace, or may result in an explosion (e.g., a dust explosion).