Sysmex XP-300 14-17
Technical Information
January 2012
Check digit
A check digit can be added to further increase the reliability of the ID number which is read.
Following is an example of the methods used to calculate the check digit of modulus 11 and
weighted modulus 11 for a sample ID number of “258416”.
(1) Modulus 11
1) A weight is assigned to each digit.
2) The results of multiplication are all added together. The result is S.
S = 14 + 30 + 40 + 16 + 3 + 12 = 115
3) A remainder is found by dividing S by 11. The complement of this remainder is then found. The
11-complement becomes the check digit value to be added.
115 / 11 = 10 (remainder = 5)
11 - 5 = 6 The check digit is 6.
All alphabet and symbol characters other than numbers 0 to 9 are considered for calculation to
be 0. If the remainder is 0 when S is divided by 11, or if the result of check-digit calculation is
10, then the check digit is 0.
(2) Weighted modulus 11
With weighted modulus 11, there are 2 sets of weights for each digit. The check is performed
first using the first set of weights. If the result is 10, then the check is performed again using the
second set of digits. The result is assured to be 0 to 9. Except for the difference in weights, the
calculation method is exactly the same as for modulus 11.
1) Weights are assigned to each digit.
2) The results of multiplication are all added together. The result is S.
S = 16 + 20 + 40 + 12 + 6 + 12 = 106
258416
××××××
Weight 765432
14 30 40 16 3 12
Weight: W12 W11 W10 W9 W8 W7 W6 W5 W4 W3 W2 W1
First set: 6359107845362
Second set:5862104376859
258416
××××××
Weight 845362
16 20 40 12 6 12
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