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 [127753224800013]

  1   2   7   7   5   3   2   2   4   8   0   0   0   1   3  
 x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  x2  x1  
 --  --  --  --  --  --  --  --  --  --  --  --  --  --  --  
  1   4   7  14   5   6   2   4   4  16   0   0   0   2   3  
  1 + 4 + 7 + 5 + 5 + 6 + 2 + 4 + 4 + 7 + 0 + 0 + 0 + 2 + 3  = 50


50 ≡ 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. 16 --> 1 + 6 = 7)

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.
      MATLAB

2024-05-18 16:01:25 ADT
Last Updated: 2015-03-05 		Richard Tervo [ tervo@unb.ca ] Back to the course homepage...