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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.
The check digit is computed as follows: If the number already contains the check digit, drop that digit to form the "payload". The check digit is most often the last digit. With the payload, start from the rightmost digit. Moving left, double the value of every second digit (including the rightmost digit). Sum the values of the resulting digits.
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.
e. Double-entry bookkeeping, also known as double-entry accounting, is a method of bookkeeping that relies on a two-sided accounting entry to maintain financial information. Every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides, known as debit ...
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 fundamental accounting equation, also called the balance sheet equation, is the foundation for the double-entry bookkeeping system and the cornerstone of accounting science. Like any equation, each side will always be equal. In the accounting equation, every transaction will have a debit and credit entry, and the total debits (left side ...
The 15 or 16-digit credit card number on the front or back of your card helps authenticate every purchase you make, whether you’re buying something in-person or online. Not only that, but the ...
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 ...