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Product Reference Guide F-43
Modulo 10 Check Digit
Modulo 10 allows you to set a check digit for the numbers 0 through 9, with
values corresponding to the numbers.
The general formula for calculating a Modulo 10 check digit is as follows:
(d
n
+ . . . + d
3
+ d
2
+ d
1
+ d
0
) modulo 10 = 0
Modulo 10 Example
1212121212
(1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + x) modulo 10 = 0
(15 + x) modulo 10 = 0
(15 + 5) modulo 10 = 0
x = 5, so the check digit would be 5.
The final string including the check digit would be 12121212125.
Modulo 36
Modulo 36 allows you to set a check digit for the characters 0 - 9 and A -Z.
The numbers correspond to the values just as in Modulo 10 and the values for
alphabetic characters start at 10 for A and end with Z at 35, as shown in
Table F-1 2.
Table F-12. Modulo 36 character values
The general formula for calculating a Modulo 36 check digit is as follows:
(d
n
+ . . . + d
3
+ d
2
+ d
1
+ d
0
) modulo 36 = 0
ABCDEFGH I
10 11 12 13 14 15 16 17 18
J K L M N O P Q R
19 20 21 22 23 24 25 26 27
S T U V W X Y Z
28 29 30 31 32 33 34 35