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etermine if the credit card nu 9173 is VALID or NOT?

etermine if the credit card nu 9173 is VALID or NOT?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a) Determine if the credit card number: 4578 4562 5643 9173 is VALID or NOT?
Transcribed Image Text:a) Determine if the credit card number: 4578 4562 5643 9173 is VALID or NOT?
Application 5: Credit Cards Like ISBN and UPC codes, credit card numbers can be easily checked by the "check digit". In the Philippines, Visa and Master cards are the dominant credit cards in the market, normally 16-digit except for some Visa cards that have 13 digits only. Credit cards numbers can be checked by doubling every other digit starting from the second (when counted from the right) to the last digit (the last digit being check digit), and summing up all resulting numbers. If the doubled digit results in a 2-digit number, simply treat the two digits as separate digits. The card number is valid only if the sum of the digits under modulo 10 is congruent to 0. Example Determine which credit card number is valid and which is not valid. a) 5234 8213 3410 1298 b) 6011 0123 9145 2317 Solutions a) Digits 52 3 8 2 13 4 10 1 2 9 8 4 Doubled (alternate) 10 2 16 2 6 4 2 0 2 2 18 8 3 Sum = 1+0+2 + 6 + 4 +1+6+ 2 +2 +3+ 6+ 4 + 2 +0+2 + 2 +1+8+8 = 60 mod 10 = 0, the indicated credit card number is VALID. b) Digits 6 0 1 101 2 391 4 5 2 3 17 Doubled 12 0 2 1 01 4 3 18 18 5 4 3 2 7 (alternate) Sum = 1+ 2+0 + 2 +1+0 + 4 + 3 +1+8 +1+ 8+5 +4 +3 + 2 +7 = 53 mod 10 = 3, the indicated credit card number is INVALID. 2. 4. 6
Transcribed Image Text:Application 5: Credit Cards Like ISBN and UPC codes, credit card numbers can be easily checked by the "check digit". In the Philippines, Visa and Master cards are the dominant credit cards in the market, normally 16-digit except for some Visa cards that have 13 digits only. Credit cards numbers can be checked by doubling every other digit starting from the second (when counted from the right) to the last digit (the last digit being check digit), and summing up all resulting numbers. If the doubled digit results in a 2-digit number, simply treat the two digits as separate digits. The card number is valid only if the sum of the digits under modulo 10 is congruent to 0. Example Determine which credit card number is valid and which is not valid. a) 5234 8213 3410 1298 b) 6011 0123 9145 2317 Solutions a) Digits 52 3 8 2 13 4 10 1 2 9 8 4 Doubled (alternate) 10 2 16 2 6 4 2 0 2 2 18 8 3 Sum = 1+0+2 + 6 + 4 +1+6+ 2 +2 +3+ 6+ 4 + 2 +0+2 + 2 +1+8+8 = 60 mod 10 = 0, the indicated credit card number is VALID. b) Digits 6 0 1 101 2 391 4 5 2 3 17 Doubled 12 0 2 1 01 4 3 18 18 5 4 3 2 7 (alternate) Sum = 1+ 2+0 + 2 +1+0 + 4 + 3 +1+8 +1+ 8+5 +4 +3 + 2 +7 = 53 mod 10 = 3, the indicated credit card number is INVALID. 2. 4. 6
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