Check digit calculation of Modulo 10 Modulo 10
This is a description of calculating check digits according to Modulo 10.
ActiveBarcode calculates this check digits for most codes automatically.
Calculating a check digit according to Modulo 10:
Modulo 10 is used by many barcode symbologies like EAN-13.
Here are some examples of how to calculate the check digit according to
Modulo 10:
An example of calculation the check digit for an EAN-13 code:
| EAN-Number: |
4 007630 00011 |
| check digit: |
unknown at this time |
| Digits: |
4 0 0 7 6 3 0 0 0 0 1 1 |
| Multiply with |
1 3 1 3 1 3 1 3 1 3 1 3 |
| Results |
4 0 0 21 6 9 0 0 0 0 1 3 Total =
44 |
| Check digit: |
Check digit = the addition to the next multiples of 10 (here 50), thus 6 |
The check digit of Code 25/25I is calculated according to
Modulo 10 with a weigthing of 3 from the left.
An Example:
| code |
: 1 2 3 4 5 |
| weighting |
: 3 1 3 1 3 |
| product |
: 3 2 9 4 15 |
| sum of products |
: 33 |
| check digit |
Check digit = the addition to the next multiples of 10 (here 40), thus 7 |
The check digits of Ident- and Leitcode are also calculated according to
Modulo 10, but with a different weighting.
An Example:
| code |
: 2 3 6 6 9 0 1 2 0 1 2 3 0 |
| weighting |
: 4 9 4 9 4 9 4 9 4 9 4 9 4 |
| product |
: 8 27 24 54 36 0 4 18 0 9 8 27 0 |
| sum of products |
: 215 |
| check digit |
: The addition to the next multiples of 10 (here 220), thus 5 |
One more example of the Modulo 10 check digit. This time for EAN-14 / ITF-14 / SCC-14 / DUN-14 Codes:
| DUN-Number: |
0400763000011 |
| Check digit:: |
unknown at this time |
| Digits: |
0 4 0 0 7 6 3 0 0 0 0 1 1 |
| Multiplicator |
3 1 3 1 3 1 3 1 3 1 3 1 3 |
| Results |
0 4 0 0 21 6 9 0 0 0 0 1 3 Total =
44 |
| Check digit: |
The addition to the next multiples of 10 (here 50), thus 6 |
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