A barcode scanner for Universal Product Codes (UPCs) verifiesthe 12-digit code scanned by comparing the code’s last digit(called a check digit ) to its own computation of the check digitfrom the first 11 digits as follows: 1. Calculate the sum of thedigits in the odd-numbered positions (the first, third, …, eleventhdigits) and multiply this sum by 3.
2. Calculate the sum of the digits in the even-numberedpositions (the second, fourth, …, tenth digits) and add this to theprevious result.
3. If the last digit of the result from step 2 is 0, then 0 isthe check digit. Otherwise, subtract the last digit
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