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luhnalgorithm's Introduction

Luhn Algorithm

Luhn Algorithm is a Modulus 10 and Mod 10 , is a simple checksum formulae used for validating a variety of identification numbers, such as credit card numbers, IMEI numbers and Canadian Social Insurance Numbers.


How is the Formulae Work?

Let's supposed an example of a Debit / Credit Card number 4716 2495 3356 7731. First, seperate card number into seperation of array, then followed by double every second digit in the array.

4 7 1 6 2 4 9 5 3 3 5 6 7 7 3 0
14 12 8 10 6 12 14 0

Secondly, If the doubled value ishigher than 9, seperate those numbers into array and get the sum of both.

4 7 1 6 2 4 9 5 3 3 5 6 7 7 3 0
14 12 8 10 6 12 14
5 3 1 3 5

Now Override those values before 9 , to existing card number,

4 + 7 + 1 + 6 + 2 + 8 + 9 + 5 + 3 + 6 + 5 + 6 + 7 + 7 + 3 + 0 = 79

\newline
\therefore This Card Is Not Valid:: Not A Multiple Of Ten

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