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  2. Luhn algorithm - Wikipedia

    en.wikipedia.org/wiki/Luhn_algorithm

    The check digit is calculated by (()), where s is the sum from step 3. This is the smallest number (possibly zero) that must be added to s {\displaystyle s} to make a multiple of 10. Other valid formulas giving the same value are 9 − ( ( s + 9 ) mod 1 0 ) {\displaystyle 9-((s+9){\bmod {1}}0)} , ( 10 − s ) mod 1 0 {\displaystyle (10-s){\bmod ...

  3. MSI Barcode - Wikipedia

    en.wikipedia.org/wiki/MSI_Barcode

    Once you have calculated your check digit, simply map each character in the string to be encoded using the table above as a reference to get the binary map of the bar code; remember to precede the code with "start" and to end it with "stop" For example, to map the string 1234567 with a Mod 10 check digit it would produce the following binary map:

  4. Luhn mod N algorithm - Wikipedia

    en.wikipedia.org/wiki/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 arbitrary set of N ...

  5. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    Add the digits (up to but not including the check digit) in the even-numbered positions (second, fourth, sixth, etc.) to the result. Take the remainder of the result divided by 10 (i.e. the modulo 10 operation). If the remainder is equal to 0 then use 0 as the check digit, and if not 0 subtract the remainder from 10 to derive the check digit.

  6. Code 39 - Wikipedia

    en.wikipedia.org/wiki/Code_39

    The barcode scheme does not contain a check digit (in contrast to—for instance—Code 128), but it can be considered self-checking on the grounds that a single erroneously interpreted bar cannot generate another valid character. Possibly the most serious drawback of Code 39 is its low data density: It requires more space to encode data in ...

  7. Help:Cheatsheet - Wikipedia

    en.wikipedia.org/wiki/Help:Cheatsheet

    For including parser functions, variables and behavior switches, see Help:Magic words; For a guide to displaying mathematical equations and formulas, see Help:Displaying a formula; For a guide to editing, see Wikipedia:Contributing to Wikipedia; For an overview of commonly used style guidelines, see Wikipedia:Simplified Manual of Style

  8. Meter Point Administration Number - Wikipedia

    en.wikipedia.org/wiki/Meter_Point_Administration...

    The final digit in the MPAN is the check digit, and validates the previous 12 (the core) using a modulus 11 test. The check digit is calculated thus: Multiply the first digit by 3; Multiply the second digit by the next prime number (5) Repeat this for each digit (missing 11 out on the list of prime numbers for the purposes of this algorithm)

  9. Montgomery modular multiplication - Wikipedia

    en.wikipedia.org/wiki/Montgomery_modular...

    output: Integer S in the range [0, N − 1] such that S ≡ TR −1 mod N m ← ((T mod R)N′) mod R t ← (T + mN) / R if t ≥ N then return t − N else return t end if end function To see that this algorithm is correct, first observe that m is chosen precisely so that T + mN is divisible by R .