UPC Assignment 1 Sample problems. Consider the following UPC-A code. Is it a valid UPC? 0 11110 86852-7.

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Presentation transcript:

UPC Assignment 1 Sample problems

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

Consider the following UPC-A code. Is it a valid UPC? The answer is Yes

How can we get ? 1.odd-digit sum: =20 2.even-digit sum: =13 3.odd*3+even = 20*3+13=73 4.mod 10: 73 mod 10 = 3 5.subtract from 10=10-3=7

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

The answer is 3

How can we get ? 1.odd-digit sum: =17 2.even-digit sum: =16 3.odd*3+even = 17*3+16=67 4.mod 10: 67 mod 10 = 7 5.subtract from10=10-7=3

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

The answer is 3

How can we get ? 1.odd-digit sum: =20 2.even-digit sum: 7+x+0+0+0=7+x 3.odd*3+even = 20*3+7+x=67+x 4.mod 10: (67+x)mod 10 5.checking number is 0, so (67+x)mod10=0 =>x=3

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

The answer is 8

How can we get ? 1.odd-digit sum: 0+8+x+5+7+8=28+x 2.even-digit sum: =26 3.odd*3+even = (28+x)*3+26=110+3x 4.subtract from 10: 10-(110+3x)mod10=6 =>(110+3x)mod10=4 =>x=8