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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 US patent 2950048A, granted on 23 August 1960. [1]

  3. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    For instance, the UPC-A barcode for a box of tissues is "036000241457". The last digit is the check digit "7", and if the other numbers are correct then the check digit calculation must produce 7. Add the odd number digits: 0+6+0+2+1+5 = 14. Multiply the result by 3: 14 × 3 = 42. Add the even number digits: 3+0+0+4+4 = 11.

  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. MSI Barcode - Wikipedia

    en.wikipedia.org/wiki/MSI_Barcode

    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 storage containers and shelves ...

  6. 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.

  7. Code 39 - Wikipedia

    en.wikipedia.org/wiki/Code_39

    Here is how to do the checksum calculation: Take the value (0 through 42) of each character in the barcode excluding start and stop codes. Sum the values. Divide the result by 10 (for Mod 10 check digit) or by 43 (for Mod 43 check digit). The remainder is the value of the checksum character to be appended.

  8. Codabar - Wikipedia

    en.wikipedia.org/wiki/Codabar

    Codabar is a linear barcode symbology developed in 1972 by Pitney Bowes Corp. [1] It and its variants are also known as Codeabar, Ames Code, NW-7, Monarch, Code 2 of 7, Rationalized Codabar, ANSI/AIM BC3-1995 or USD-4. Although Codabar has not been registered for United States federal trademark status, its hyphenated variant, Code-a-bar, is a ...

  9. ISO/IEC 7064 - Wikipedia

    en.wikipedia.org/wiki/ISO/IEC_7064

    ISO/IEC 7064. ISO/IEC 7064 is a standard promulgated by the International Standards Organization (ISO) and International Electrotechnical Commission (IEC) that defines algorithms for calculating check digit characters. The checks should be applicable to alphanumeric strings and should be able to detect all single substitution errors, all or ...