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UNB EE4253 Digital Communications
Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada
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LUHN-10 Error Detection Tool

Error control codes can be implemented within written values such as account numbers and price tags by appending a single check digit according to the LUHN-10 Algorithm.

4563 9601 2200 1999

This particular algorithm is part of a standard (ISO-7812-1) used worldwide for various credit cards. (Specific Applications)

Check a LUHN-10 coded number by entering it in the box below. Spaces may be used as desired. 

Checking [4563 9601 2200 1999]

  4   5   6   3   9   6   0   1   2   2   0   0   1   9   9   9  
 x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  
 --  --  --  --  --  --  --  --  --  --  --  --  --  --  --  --  
  8   5  12   3  18   6   0   1   4   2   0   0   2   9  18   9  
  8 + 5 + 3 + 3 + 9 + 6 + 0 + 1 + 4 + 2 + 0 + 0 + 2 + 9 + 9 + 9  = 70


70 = 0 mod 10

The test PASSED since the result is zero.

In the above summation, any two-digit product is included
 as the sum of its two digits. (e.g. 18 --> 1 + 8 = 9)
There is a one-in-ten chance that a totally random number will pass this simple validity test.

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Sat Feb 11 15:47:27 AST 2012
Last Updated: 17 OCT 02 		Richard Tervo [ tervo@unb.ca ] Back to the course homepage...
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