Monarch 9906 - Sum of Products Calculation

4-16 Packet Reference Manual
A7. D/P Algorithm. The algorithm determines how the check digit is calculated.
Options:
D sum of digits
P sum of products
A8. “weights” String of digits used for calculation. A weight string is a group of two
or more numbers that is applied to a field. The number of digits in this
string should equal the number in fld_length. Enclose in quotation
marks. Range: 0 to 2710. “” is the default.
Example {A,1,A,R,10,5,P,"65432" | }
Adds check digit scheme number 1 to the printer’s memory. The modulus is 10, the maximum
number of characters in the field is 5. The check digit is calculated by using the Sum of Products
and the string of digits used in the calculation is “65432.”
Sum of Products Calculation
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
10 98
90
8
5. Subtract the remainder from the modulus.
The result becomes the check digit. In this case, the check digit is 2.
10 - 8 = 2