SYSMEX SF-3000 - Page 589

TECHNICAL INFORMATION, ID Bar Code, Check Digit
Sysmex SF-3000 Operator's Manual -- Revised September 1995 C-23
(C) Weighted Modulus 11
This Weighted Modulus 11 method is used in the bar-code symbology such as NW-7
and CODABAR. Check-digit computation method is shown as follows:
The following example uses the ID number 15-2345-6789.
(1) Weighted Modulus-11 has two sets of the weight:
The first weight set is 2, 6, 3, 5, 4, 8, 7, 10, 9, 5, 3, 6
The second weight set is 9, 5, 8, 6, 7, 3, 4, 10, 2, 6, 8, 5
Each digit is applied to one digit of the ID number, from the least significant to the
most significant digit. The second weight set is used when the check digit is
computed to "10" as the result of using the first weight set. All symbols are
assumed 0 (zero) in the calculation. Therefore, the first weight set is multiplied to
each digit as given below:
ID Number
Weight
1
x
6
5
x
3
-
x
5
2
x
9
3
x
10
4
x
7
5
x
8
-
x
4
6
x
5
7
x
3
8
x
6
9
x
2
6 15 0 18 30 28 40 0 30 21 48 18
(2) Add each product as given below:
Sum=6+15+0+18+30+28+40+0+30+21+48+18=254
(3) Divide the sum by 11 and get the remainder. Then subtract the remainder from 11.
The result will be the check-digit.
254/11 = 23; remainder = 1,
11-1 = 10,
The check-digit is now computed by using the second weight set as:
ID Number
Weight
1
x
5
5
x
8
-
x
6
2
x
2
3
x
10
4
x
4
5
x
3
-
x
7
6
x
6
7
x
8
8
x
5
9
x
9
5 40 0 4 30 16 15 0 36 56 40 81
(4) Add the each product as given below:
Sum=5+40+0+4+30+16+15+0+36+56+40+81 = 323
(5) Divide the sum by 11 and get the remainder. Then subtract the remainder from 11.
The result will be the check-digit.
323/11 = 29; remainder = 4,
11-4 = 7,
Hence the check-digit is 7.