AMDM- Universal Product Codes and Credit Card Numbers

User Generated

znlnq42

Mathematics

Description

1. What does the check digit need to be so that the following UPC will be valid?


48900003782-D

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2. Is the following UPC code valid?

08500001818-7

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3. Is the following UPC code valid?

00498847303-7

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4. Is the following UPC code valid

07385200131-1

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5. Is the following UPC code valid?

08200019298-5

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6. What does the check digit need to be so that the following UPC will be valid?

38748473674-D

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7. What does the check digit need to be so that the following UPC will be valid?

27000892873-D

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8. Show that 4128 0012 4389 0110 is an invalid VISA credit card number.

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Explanation & Answer

I did it, review please:

The rule for UPC is:
3 * (sum of digits on odd positions) + (sum of digits on even positions) is divisible by 10.
1. 48900003782-D gives 3*(4+9+0+0+7+2) + (8+0+0+3+8+D) = 66 + 19 + D = 85 + D, so D=5.
2. 085000018187 gives 3*(0+5+0+0+8+8) + (8+0+0+1+1+7) = 63 + 17 = 80, so yes.
3. 004988473037 gives 3*(0+4+8+4+3+3) + (0+9+8+7+0+7) = 66 + 31...


Anonymous
This is great! Exactly what I wanted.

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