The ISBN uses a weighted sum of the first nine digits in the number to create the check digit, which is used to detect single-digit errors or the transposition of two digits. Each digit is weighted, by multiplying it by a constant, according to its position in the number. The weighted sum is found by the following formula:
The check digit is the remainder when the weighted sum is divided by 11. In the case of a remainder of 10, the check digit is an “X.”
In each of the following ISBNs, a scanner made a single-digit error, but the check digit is correct. Correct the error in as many ways as possible.
a. 2-08-152852-X
b. 1-88-342354-0
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