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  2. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    For example, the base-8 numeral 23 8 contains two digits, "2" and "3", and with a base number (subscripted) "8". When converted to base-10, the 23 8 is equivalent to 19 10, i.e. 23 8 = 19 10. In our notation here, the subscript "8" of the numeral 23 8 is part of the numeral, but this may not always be the case.

  3. Change of base - Wikipedia

    en.wikipedia.org/wiki/Change_of_base

    In mathematics, change of base can mean any of several things: . Changing numeral bases, such as converting from base 2 to base 10 ().This is known as base conversion.; The logarithmic change-of-base formula, one of the logarithmic identities used frequently in algebra and calculus.

  4. Double dabble - Wikipedia

    en.wikipedia.org/wiki/Double_dabble

    In computer science, the double dabble algorithm is used to convert binary numbers into binary-coded decimal (BCD) notation. [ 1 ] [ 2 ] It is also known as the shift-and-add -3 algorithm , and can be implemented using a small number of gates in computer hardware, but at the expense of high latency .

  5. Gray code - Wikipedia

    en.wikipedia.org/wiki/Gray_code

    // Iterating through a sequence of values would result in a sequence // of Gray codes in which only one digit changes at a time. void toGray (unsigned base, unsigned digits, unsigned value, unsigned gray [digits]) {unsigned baseN [digits]; // Stores the ordinary base-N number, one digit per entry unsigned i; // The loop variable // Put the ...

  6. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because of ...

  7. Numeral system - Wikipedia

    en.wikipedia.org/wiki/Numeral_system

    The positional systems are classified by their base or radix, which is the number of symbols called digits used by the system. In base 10, ten different digits 0, ..., 9 are used and the position of a digit is used to signify the power of ten that the digit is to be multiplied with, as in 304 = 3×100 + 0×10 + 4×1 or more precisely 3×10 2 ...

  8. Non-integer base of numeration - Wikipedia

    en.wikipedia.org/wiki/Non-integer_base_of_numeration

    The base can also be used to show the relationship between the side of a square to its diagonal as a square with a side length of 1 √ 2 will have a diagonal of 102 and a square with a side length of 102 will have a diagonal of 1002. Another use of the base is to show the silver ratio as its representation in base2 is ...

  9. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_systems

    100: Centesimal: As 100=10 2, these are two decimal digits. 121: Number expressible with two undecimal digits. 125: Number expressible with three quinary digits. 128: Using as 128=2 7. [clarification needed] 144: Number expressible with two duodecimal digits. 169: Number expressible with two tridecimal digits. 185