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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. It is described in US patent 2950048A, granted on 23 August 1960. [1]
To calculate the check digit, take the remainder of (53 / 10), which is also known as (53 modulo 10), and if not 0, subtract from 10. Therefore, the check digit value is 7. i.e. (53 / 10) = 5 remainder 3; 10 - 3 = 7. Another example: to calculate the check digit for the following food item "01010101010x". Add the odd number digits: 0+0+0+0+0+0 = 0.
MSI barcode for the number 1234567 with Mod 10 check digit. MSI (also known as Modified Plessey) is a barcode symbology developed by the MSI Data Corporation, based on the original Plessey Code symbology. It is a continuous symbology that is not self-checking. MSI is used primarily for inventory control, marking storage containers and shelves ...
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 arbitrary set of N ...
Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...
Here is how to do the checksum calculation: Take the value (0 through 42) of each character in the barcode excluding start and stop codes. Sum the values. Divide the result by 10 (for Mod 10 check digit) or by 43 (for Mod 43 check digit). The remainder is the value of the checksum character to be appended.
27 mod 10 = 7 Subtract from 10: 10 − 7 = 3 Take the 10s modulus of the result (this final step is important in the instance where the modulus of the sum is 0, as the resulting check digit would be 10). 3 mod 10 = 3 So the ISIN check digit is still three even though two letters have been transposed.
The check digit is chosen so that the sum of all digits in the bar code is a multiple of 10. Equivalently, the modulo-10 sum is 0. To calculate the check digit: Add up the digits. For example, if a letter is sent to Young America, Minnesota, it might be sent to 55555-1237, which would have the sum of 38.