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  2. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_systems

    This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 85 5 is only slightly bigger than 2 32. Such method is 6.7% more efficient than MIME-64 which encodes a 24 bit number into 4 printable characters. 89

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). [2] [3] As an example, the fraction ⁠ 8 / 5 ⁠ amounts to eight parts, each of which is of the ...

  4. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Even and odd numbers: An integer is even if it is a multiple of 2, and is odd otherwise. Prime number: A positive integer with exactly two positive divisors: itself and 1. The primes form an infinite sequence 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...

  5. Numeral system - Wikipedia

    en.wikipedia.org/wiki/Numeral_system

    For example, in the decimal system (base 10), the numeral 4327 means (4×10 3) + (3×10 2) + (2×10 1) + (7×10 0), noting that 10 0 = 1. In general, if b is the base, one writes a number in the numeral system of base b by expressing it in the form a n b n + a n − 1 b n − 1 + a n − 2 b n − 2 + ... + a 0 b 0 and writing the enumerated ...

  6. 142857 - Wikipedia

    en.wikipedia.org/wiki/142857

    142857 is the best-known cyclic number in base 10, being the six repeating digits of ⁠ 1 / 7 ⁠ (0. 142857). [2] [3] [4] [5]If 142857 is multiplied by 2, 3, 4, 5 ...

  7. Egyptian fraction - Wikipedia

    en.wikipedia.org/wiki/Egyptian_fraction

    For instance, Fibonacci represents the fraction ⁠ 8 / 11 ⁠ by splitting the numerator into a sum of two numbers, each of which divides one plus the denominator: ⁠ 8 / 11 ⁠ = ⁠ 6 / 11 ⁠ + ⁠ 2 / 11 ⁠. Fibonacci applies the algebraic identity above to each these two parts, producing the expansion ⁠ 8 / 11 ⁠ = ⁠ 1 / 2 ...

  8. Greedy algorithm for Egyptian fractions - Wikipedia

    en.wikipedia.org/wiki/Greedy_algorithm_for...

    The simplest fraction3 / y ⁠ with a three-term expansion is ⁠ 3 / 7 ⁠. A fraction4 / y ⁠ requires four terms in its greedy expansion if and only if y ≡ 1 or 17 (mod 24), for then the numerator −y mod x of the remaining fraction is 3 and the denominator is 1 (mod 6). The simplest fraction4 / y ⁠ with a four-term ...

  9. Quinary - Wikipedia

    en.wikipedia.org/wiki/Quinary

    Quinary (base 5 or pental [1] [2] [3]) is a numeral system with five as the base.A possible origination of a quinary system is that there are five digits on either hand.. In the quinary place system, five numerals, from 0 to 4, are used to represent any real number.