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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]
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.
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 ...
The last number of the IMEI is a check digit, calculated using the Luhn algorithm, as defined in the IMEI Allocation and Approval Guidelines: The Check Digit shall be calculated according to Luhn formula (ISO/IEC 7812). (See GSM 02.16 / 3GPP 22.016). The Check Digit is a function of all other digits in the IMEI.
A VIN with straight-ones (seventeen consecutive 1s) has the nice feature that its check digit 1 matches the calculated value 1. This is because a value of one multiplied by 89 (sum of weights) is 89, and 89 divided by 11 is 8 with remainder 1 ⁄ 11; thus 1 is the check digit. This is a way to test a VIN-check algorithm.
In the first case, all digits are in the range '0'–'9', the check-digit is calculated using the normal base 10 Luhn algorithm, but if at least one digit is in the range 'A'–'F' this check digit algorithm uses base 16 arithmetic. The check-digit is never transmitted or stored. It is intended to detect most (but not all) input errors, it is ...
The country code "US" has been added on the front, and an additional check digit at the end. The country code indicates the country of issue. The check digit is calculated using the Luhn algorithm. Convert any letters to numbers by taking the ASCII code of the capital letter and subtracting 55: U = 30, S = 28. US037833100 -> 30 28 037833100
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 [4] the check digit is a 'modulo 10 check digit' or Luhn algorithm check digit. GS1 also provides a check digit calculator.