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  2. Duodecimal - Wikipedia

    en.wikipedia.org/wiki/Duodecimal

    Numeral systems. 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.

  3. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    If the remainder is equal to 0 then use 0 as the check digit, and if not 0 subtract the remainder from 10 to derive the check digit. A GS1 check digit calculator and detailed documentation is online at GS1's website. [5] Another official calculator page shows that the mechanism for GTIN-13 is the same for Global Location Number/GLN. [6]

  4. Luhn algorithm - Wikipedia

    en.wikipedia.org/wiki/Luhn_algorithm

    Luhn algorithm. The Luhn algorithm or Luhn formula, also known as the " modulus 10" or "mod 10" algorithm, named after its creator, IBM scientist Hans Peter Luhn, is a simple check digit formula used to validate a variety of identification numbers. It is described in US patent 2950048A, granted on 23 August 1960. [ 1]

  5. ISBN - Wikipedia

    en.wikipedia.org/wiki/ISBN

    According to the 2001 edition of the International ISBN Agency's official user manual, [48] the ISBN-10 check digit (which is the last digit of the 10-digit ISBN) must range from 0 to 10 (the symbol 'X' is used for 10), and must be such that the sum of the ten digits, each multiplied by its (integer) weight, descending from 10 to 1, is a ...

  6. DEA number - Wikipedia

    en.wikipedia.org/wiki/DEA_number

    A valid DEA number consists of: 2 letters, 6 numbers, and 1 check digit. The first letter is a code identifying the type of registrant (see below) The second letter is the first letter of the registrant's last name, or "9" for registrants using a business address instead of name. Of the seven digits that follow, the seventh digit is a "checksum ...

  7. Arithmometer - Wikipedia

    en.wikipedia.org/wiki/Arithmometer

    Arithmometer. The arithmometer ( French: arithmomètre) was the first digital mechanical calculator strong enough and reliable enough to be used daily in an office environment. This calculator could add and subtract two numbers directly and could perform long multiplications and divisions effectively by using a movable accumulator for the result.

  8. Highly composite number - Wikipedia

    en.wikipedia.org/wiki/Highly_composite_number

    The sequence of highly composite numbers (sequence A002182 in the OEIS) is a subset of the sequence of smallest numbers k with exactly n divisors (sequence A005179 in the OEIS ). Highly composite numbers whose number of divisors is also a highly composite number are. 1, 2, 6, 12, 60, 360, 1260, 2520, 5040, 55440, 277200, 720720, 3603600 ...

  9. Verhoeff algorithm - Wikipedia

    en.wikipedia.org/wiki/Verhoeff_algorithm

    Verhoeff had the goal of finding a decimal code—one where the check digit is a single decimal digit—which detected all single-digit errors and all transpositions of adjacent digits. At the time, supposed proofs of the nonexistence [6] of these codes made base-11 codes popular, for example in the ISBN check digit.

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