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  2. 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 U.S. Patent No. 2,950,048, granted on August 23, 1960.

  3. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    Take the remainder of the result divided by 10 (i.e. the modulo 10 operation). 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.

  4. Luhn mod N algorithm - Wikipedia

    en.wikipedia.org/wiki/Luhn_mod_N_algorithm

    Luhn mod N algorithm. The Luhn mod N algorithm is an extension to the Luhn algorithm (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered base. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any ...

  5. Global Location Number - Wikipedia

    en.wikipedia.org/wiki/Global_Location_Number

    GS1 Check digit. GLNs use the standard GS1 Check Digit as the default for all GS1 identifiers unless another check digit method is specified. Per the official GS1 General Specification the check digit is a 'modulo 10 check digit' or Luhn algorithm check digit. GS1 also provides a check digit calculator.

  6. CUSIP - Wikipedia

    en.wikipedia.org/wiki/CUSIP

    The 9th digit is an automatically generated check digit using the "Modulus 10 Double Add Double" technique based on the Luhn algorithm. To calculate the check digit every second digit is multiplied by two. Letters are converted to numbers based on their ordinal position in the alphabet, starting with A equal to 10. TBA CUSIP format

  7. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    In chemistry, the last digit of the CAS registry number (a unique identifying number for each chemical compound) is a check digit, which is calculated by taking the last digit of the first two parts of the CAS registry number times 1, the previous digit times 2, the previous digit times 3 etc., adding all these up and computing the sum modulo 10.

  8. MSI Barcode - Wikipedia

    en.wikipedia.org/wiki/MSI_Barcode

    MSI Barcode. Appearance. hide. MSI barcode for the number 1234567 with Mod 10 check digit. MSI (also known as Modified Plessey) is a barcode symbology developed by the MSI Data Corporation, based on the original Plessey Code symbology. It is a continuous symbology that is not self-checking. MSI is used primarily for inventory control, marking ...

  9. Modulus (algebraic number theory) - Wikipedia

    en.wikipedia.org/wiki/Modulus_(algebraic_number...

    A modulus is a formal product [3] [4] where p runs over all places of K, finite or infinite, the exponents ν ( p) are zero except for finitely many p. If K is a number field, ν ( p ) = 0 or 1 for real places and ν ( p ) = 0 for complex places. If K is a function field, ν ( p ) = 0 for all infinite places. In the function field case, a ...