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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.
Add the digits (up to but not including the check digit) in the even-numbered positions (second, fourth, sixth, etc.) to the result. 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.
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 arbitrary set of N ...
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.
The code with check digit is referred to as Code 39 mod 10 or Code 39 mod 43 respectively. To compute this, each character is assigned a value. The assignments are listed in the table above, and almost, but not quite, systematic.
Because Codabar is self-checking, most standards do not define a check digit. [3] Some standards that use Codabar will define a check digit, but the algorithm is not universal. For purely numerical data, such as the library barcode pictured above, the Luhn algorithm is popular. [4] When all 16 symbols are possible, a simple modulo-16 checksum ...
Once opened, its shelf life dramatically decreases, so be sure to check the label. Most natural peanut butter must be stored in the refrigerator once opened. Anna Zak / 500px - Getty Images.
Subtract the sum modulo 10 from 10. Continuing with the example, 10 − 8 = 2. The check digit is therefore 2. If calculated correctly, the sum of the ZIP, ZIP+4, or ZIP+4+delivery point digits and the check digit will always be a multiple of 10. Continuing with the example above, (5+5+5+5+5+1+2+3+7+2) = 40, and 40 mod 10 = 0.