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The check digit is computed as follows: Drop the check digit from the number (if it's already present). This leaves the payload. Start with the payload digits. Moving from right to left, double every second digit, starting from the last digit. If doubling a digit results in a value > 9, subtract 9 from it (or sum its digits).
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.
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 ...
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.
The validity of a digit sequence containing a check digit is defined over a quasigroup. A quasigroup table ready for use can be taken from Damm's dissertation (pages 98, 106, 111). [3] It is useful if each main diagonal entry is 0, [1] because it simplifies the check digit calculation.
The numbers on a credit card help identify the credit card network, the company that issued the card and the cardholder. Credit card numbers are either 15 or 16 digits, with each digit having its ...
Check digits and parity bits are special cases of checksums, appropriate for small blocks of data (such as Social Security numbers, bank account numbers, computer words, single bytes, etc.). Some error-correcting codes are based on special checksums which not only detect common errors but also allow the original data to be recovered in certain ...
A credit card is a payment card, usually issued by a bank, allowing its users to purchase goods or services, or withdraw cash, on credit. Using the card thus accrues debt that has to be repaid later. [1] Credit cards are one of the most widely used forms of payment across the world. [2]