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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]
The International CAS registry number's final digit. Modulo 10 check digits in credit card account numbers, calculated by the Luhn algorithm. Also used in the Norwegian KID (customer identification number) numbers used in bank giros (credit transfer), Used in IMEI of mobile phones.
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 ...
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.
The last digit of each value is its check digit. Czech Republic [17] Weighted 6, 3, 7, 9, 10, 5, 8, 4, 2, 1 11 11 − r, 0 → 0 Calculated separately for the account number (ten digits) and branch number (six digits, using the last six weights). The last digit of each value is its check digit. East Timor: ISO 7064 MOD-97-10 97 98 − r
Payment card numbers are composed of 8 to 19 digits, [ 1] The leading six or eight digits are the issuer identification number (IIN) sometimes referred to as the bank identification number (BIN). [ 2]: 33 [ 3] The remaining numbers, except the last digit, are the individual account identification number. The last digit is the Luhn check digit.
Modulo. In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the modulus of the operation). Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the ...
Verhoeff had the goal of finding a decimal code—one where the check digit is a single decimal digit—which detected all single-digit errors and all transpositions of adjacent digits. At the time, supposed proofs of the nonexistence of these codes made base-11 codes popular, for example in the ISBN check digit.