The barcode is made up of a prefix, followed by a hyphen, followed by a hexadecimal string, all in capitals. The prefix should be the one correct for the location the barcode is being used. The last digit of the hexadecimal string is a checksum calculated based on the preceding characters.

- Take the non-checksum part of the hex. This is all of it except the last digit.
- Starting from the end and working back towards the beginning, add up the value of the hex digits in even positions. (A)
- Separately, add up the values of the hex digits in odd positions, and multiply the total by 3. (B)
- Add up the two numbers A and B.
- Calculate the remainder when the total is divided by 16.
- If the result is nonzero, subtract it from 16.
- Convert the number to hexadecimal. That should be the value of the checksum character.

`SANG-4A996`

The checksum is calculated from 4A99.

- The digits in even positions (counting from the end) are 9 and A.
- The digits in odd positions (counting from the end) are 9 and 4.

```
TOTAL = (9 + A) + (9 + 4) * 3 = 4A HEX (58 DEC)
```

- The remainder when divided by 16 is A HEX (10 DEC).
- Subtract that from 16 to give 6.
- 6 is the value of the checksum.

`NIRE-102B1B`

The checksum is calculated from 102B1.

- The digits in even positions (counting from the end) are 1, 2 and 1.
- The digits in odd positions (counting from the end) are B and 0.

```
TOTAL = (1 + 2 + 1) + (B + 0) * 3 = 25 HEX = 37 DEC
```

- The remainder when divided by 16 is 5.
- Subtract that from 16 to give B (11 DEC).
- B is the value of the checksum.

```
// This Java code is equivalent to the description above, though
// not following exactly the same steps.
private static int hexCharToInt(char ch) {
if (ch>='0' && ch<='9') return ch-'0';
if (ch>='A' && ch<='F') return ch-'A'+10;
throw new IllegalArgumentException("Illegal hex char: "+ch);
}
private static char intToHexChar(int n) {
if ((n&0xf)!=n) {
throw new IllegalArgumentException("Hex char out of range: "+n);
}
if (n<10) return (char) ('0'+n);
return (char) ('A'+n-10);
}
// hex is the hex part of the barcode string (without the checksum)
private static char calculateChecksum(String hex) {
final int l = hex.length();
int sum = 0;
for (int i = 0; i < l; ++i) {
int v = hexCharToInt(hex.charAt(l-1-i));
if ((i&1)!=0) {
v *= 3;
}
sum += v;
}
return intToHexChar((-sum)&0xf);
}
```

Published 2020-03-19. Updated 2020-03-20. Page maintainer @khelwood.