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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 generates a check digit (more precisely, a check character) within the same range of valid characters as the input string. For example, if the algorithm is applied to a string of lower-case letters (a to z), the check character will also be a lower-case letter. Apart from this distinction, it resembles very closely the ...
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 nearly all single ...
The algorithm to create the check digit the same algorithm, with an extra step at the end. Put 0 in as a temporary placeholder for the check digit, then calculate the sum (as explained in the article). Calculate the sum modulus 10. If the result is 0, then you're done - the check digit is zero. Otherwise, the check digit is 10 - (sum modulus 10).
The barcode scheme does not contain a check digit (in contrast to—for instance—Code 128), but it can be considered self-checking on the grounds that a single erroneously interpreted bar cannot generate another valid character. Possibly the most serious drawback of Code 39 is its low data density: It requires more space to encode data in ...
Entering Week 16 of the 2024 season, the Las Vegas Raiders have the first overall pick in the 2025 NFL draft.They're one of two 2-12 teams, along with the Giants, but are favored this week against ...
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.