Question

Find the check digit that would make this a valid UPC:

0-11100-82014-d
a) d = 6
b) d = 4
c) d = 9
d) d = 44

Answer 1

To find the check digit for a UPC, follow the steps: remove the check digit, multiply odd-positioned digits by 3 and even-positioned digits by 1, calculate the sum, divide by 10, and subtract from 10 to get the check digit.

Step-by-step explanation:

A UPC (Universal Product Code) is a unique identifier used to identify products in stores. It consists of a 12-digit number, with the last digit known as the check digit. The check digit is used to verify the accuracy of the other digits in the UPC. To find the check digit, follow these steps:

1. Remove the check digit from the given UPC. In this case, the given UPC is 0-11100-82014 without the check digit.
2. Starting from the rightmost digit and moving left, multiply every odd-positioned digit by 3 and every even-positioned digit by 1.
3. Add up the results from step 2.
4. Divide the sum obtained in step 3 by 10. The remainder, when subtracted from 10, will give the check digit.

Let's calculate the check digit for the given UPC (0-11100-82014). Removing the check digit, we have 0-11100-82014 without the 'd' digit. Let's follow the steps above:

1. 0-1-1-0-0-8-2-0-1-4 (without the check digit)
2. 0x3-1x1-1x3-0x1-0x3-8x1-2x3-0x1-1x3-4x1
3. 0+1+3+0+0+8+6+0+3+4 = 25
4. 25 % 10 = 5

Therefore, the check digit for the given UPC (0-11100-82014) should be 'd = 5'.