UNB ECE4253 Digital Communications
Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada

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.

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


LUHN-10 Check Calculation

Checking [4440072145451919]

  4   4   4   0   0   7   2   1   4   5   4   5   1   9   1   9  
 x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  
 --  --  --  --  --  --  --  --  --  --  --  --  --  --  --  --  
  8   4   8   0   0   7   4   1   8   5   8   5   2   9   2   9  
  8 + 4 + 8 + 0 + 0 + 7 + 4 + 1 + 8 + 5 + 8 + 5 + 2 + 9 + 2 + 9  = 80

80 ≡ 0 (mod 10)

The test PASSED since the result is zero.

There is a one-in-ten chance that a totally random number will pass this simple validity test.


Check a LUHN-10 coded number by entering it in the box below. Spaces may be used as desired.
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2024-04-18 03:09:56 ADT
Last Updated: 2015-03-05
Richard Tervo [ tervo@unb.ca ] Back to the course homepage...