S u m o f P r o d u c t s C a l c u l a t i o n

This is an example of how the printer uses Sum of Products to calculate a check digit for this data:

5 2 3 2 4 5 2 1 9

1.Weights are applied to each digit, starting with the last digit in the weight string. They are applied right to left, beginning at the right-most position of the field. Remember, a weight string must contain at least two different numbers. This example has a weight string of 1,2,3,4:

field:5 2 3 2 4 5 2 1 9

weight string: 4 1 2 3 4 1 2 3 4

2.Each digit in the field is multiplied by the weight assigned to it:

field:5 2 3 2 4 5 2 1 9

weight string: 4 1 2 3 4 1 2 3 4

products:20 2 6 6 16 5 4 3 36

3.Next, the product of each digit is added together. This is the sum of the products.

20 + 2 + 6 + 6 + 16 + 5 + 4 + 3 + 36 = 98

4.Divide the sum of the products by the modulus (10 in this case), only to the whole number. The balance is called the remainder.

9

1098

90

8

3-14Defining Field Options

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Paxar TC6037PR manual M o f P r o d u c t s C a l c u l a t i o n, 3 2 4 5 2 1