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  2. 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.

  3. 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.

  4. 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 ...

  5. 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 .

  6. Computer number format - Wikipedia

    en.wikipedia.org/wiki/Computer_number_format

    2.3434E−6 = 2.3434 × 10 −6 = 2.3434 × 0.000001 = 0.0000023434. The advantage of this scheme is that by using the exponent we can get a much wider range of numbers, even if the number of digits in the significand, or the "numeric precision", is much smaller than the range. Similar binary floating-point formats can be defined for computers.

  7. 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 ...

  8. Binary-coded decimal - Wikipedia

    en.wikipedia.org/wiki/Binary-coded_decimal

    Conversion of the simple sum of two digits can be done by adding 6 (that is, 16 − 10) when the five-bit result of adding a pair of digits has a value greater than 9. The reason for adding 6 is that there are 16 possible 4-bit BCD values (since 2 4 = 16), but only 10 values are valid (0000 through 1001).

  9. 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 ...