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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 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 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.
The remainder is the check digit. If the remainder is 10, the check digit is X. In this example, the remainder is 10, so the check digit is transliterated as X. With a check digit of X, the VIN 1M8GDM9A_KP042788 is written 1M8GDM9AXKP042788. A VIN with straight-ones (seventeen consecutive 1s) has the nice feature that its check digit 1 matches ...
The identification number has 8-digit standard format: NNNNNNN (N), where N is a numeric digit 0–9. The first numeric digit N has special meaning, and it can be one of the following digits: '1', '5' or '7'. '1': The first-time date of issuance of ID card to the bearer was 1992 or later.
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 ...
Personal identification number. A personal identification number (PIN), PIN code, or sometimes redundantly a PIN number, is a numeric (sometimes alpha-numeric) passcode used in the process of authenticating a user accessing a system. The PIN has been the key to facilitating the private data exchange between different data-processing centers in ...
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 [6] of these codes made base-11 codes popular, for example in the ISBN check digit.