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UPC Assignment 1 Sample problems. Consider the following UPC-A code. Is it a valid UPC? 0 11110 86852-7 . Consider the following UPC-A code. Is it a valid UPC? 0 11110 86852-7 The answer is Yes. How can we get ?. odd-digit sum: 0+1+1+8+8+2=20 even-digit sum: 1+1+0+6+5=13

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Upc assignment 1 sample problems

Consider the following UPC-A code. Is it a valid UPC?

0 11110 86852-7


Upc assignment 1 sample problems

Consider the following UPC-A code. Is it a valid UPC?

0 11110 86852-7

The answer is Yes


How can we get
How can we get ?

  • odd-digit sum: 0+1+1+8+8+2=20

  • even-digit sum: 1+1+0+6+5=13

  • odd*3+even = 20*3+13=73

  • mod 10: 73 mod 10 = 3

  • subtract from 10=10-3=7


Upc assignment 1 sample problems

Consider the following UPC-A code. What is the missing digit (shown as a question mark)? 0 21130 27566-?


Upc assignment 1 sample problems

Consider the following UPC-A code. What is the missing digit (shown as a question mark)? 0 21130 27566-?

  • The answer is 3


How can we get1
How can we get ? (shown as a question mark

  • odd-digit sum: 0+1+3+2+5+6=17

  • even-digit sum: 2+1+0+7+6=16

  • odd*3+even = 17*3+16=67

  • mod 10: 67 mod 10 = 7

  • subtract from10=10-7=3


Upc assignment 1 sample problems

Consider the following UPC-A code. What is the missing digit (shown as a question mark)?0 70?30 50606 0


Upc assignment 1 sample problems

Consider the following UPC-A code. What is the missing digit (shown as a question mark)?0 70?30 50606 0

  • The answer is 3


How can we get2
How can we get ? (shown as a question mark

  • odd-digit sum: 0+0+3+5+6+6=20

  • even-digit sum: 7+x+0+0+0=7+x

  • odd*3+even = 20*3+7+x=67+x

  • mod 10: (67+x)mod 10

  • checking number is 0, so

    (67+x)mod10=0

    =>x=3


Upc assignment 1 sample problems

Consider the following UPC-A code. What is the missing digit (shown as a question mark)?0 787?7 50758 6


Upc assignment 1 sample problems

Consider the following UPC-A code. What is the missing digit (shown as a question mark)?0 787?7 50758 6

  • The answer is 8


How can we get3
How can we get ? (shown as a question mark

  • odd-digit sum: 0+8+x+5+7+8=28+x

  • even-digit sum: 7+7+7+0+5=26

  • odd*3+even = (28+x)*3+26=110+3x

  • subtract from 10:

    10-(110+3x)mod10=6

    =>(110+3x)mod10=4

    =>x=8