What check digit is required to make the following UPC valid? 78007305233D

Mathematics · Middle School · Thu Jan 21 2021

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Given the UPC:

78007305233D

Determine the check digit to make the UPC Valid.

Formula for Finding the check digit of the Universal Product Code:

d12= 10- (3d1 + d2 + 3d3 + d4 + 3d5 + d6 + 3d7 + d8 + 3d9 + d10 + 3d11) mod 10
if d12= 10, then the check digit is 0

Solution:

Substitute the given values of the term to the formula for the universal product code.

d12= 10- (3(7) + (8) + 3(0) + 0 + 3(7) + (3) + 3(0) + 5 + 3(2) + 3 + 3(3)) mod 10
d12= 10- (21 + (8) + 0 + 0 + 21 + 3 + 0 + 5 + 6 + 3 + 9)) mod 10
d12= 10- (76) mod 10
d12 =10 -4
d12 = 6

Final answer:

The check digit to make the UPC valid is 6