Reference no: EM13164308
Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against
transcription errors such as an error in a single digit or switching two digits. The following method is used to
verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:
- Starting from the rightmost digit, form the sum of every other digit. For example, if the credit card
number is 43589795, then you form the sum: 5 + 7 + 8 + 3 = 23.
- Double each of the digits that were not included in the preceding step. Add all digits of the resulting
numbers. For example, with the number given above, doubling the digits, starting with the next-to-last
one, yields: 18 18 10 8. Adding all digits in these values yields: 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.
- Add the sums of the two preceding steps. If the last digit of the result is 0, the number is valid. In our
case, 23 + 27 = 50, so the number is valid.
Write a program that implements this algorithm. The user should supply an 8-digit number, and you should print
out whether the number is valid or not. HINTS: look at digitStripper.cpp and try to do this problem by hand for
the second example below before trying to write code.
Example runs (with user input indicated with bold italics):
Please enter 8-digit card number: 43589795
Card is valid.
Please enter 8-digit card number: 43589796
Card is not valid.