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In C++ Credit Card Number Check, part 1 (revisiting P4.

In C++ Credit Card Number Check, part 1 (revisiting P4.5). 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, using the function:

bool isCardValid( int digits[], int size )

that is passed an integer array that separately stores each digit of the credit card number and returns true if the 8-digit credit card number is valid. The user should supply an 8-digit number, and you should print out whether the number is valid or not. HINT: look at digitStripper.cpp.

Example run (with user input indicated with bold italics):

Enter 8-digit credit card # or Q to quit: 43589795

Card is valid.

Enter 8-digit credit card # or Q to quit: 43589796

Card is not valid.

Enter 8-digit credit card # or Q to quit: Q

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