One of the examples of a weighted checksum is the ISBN-10 code we see printed on the back cover of some books. In ISBN-10, there are 9 decimal digits that define the country, the publisher, and the book. The tenth (rightmost) digit is a checksum digit. The code, D1D2D3D4D5D6D7D8D9C, satisfies the following.
In other words, the weights are 10, 9, . . .,1. If the calculated value for C is 10, one uses the letter X instead. By replacing each weight w with its complement in modulo 11 arithmetic (11 w), it can be shown that the check digit can be calculated as shown below.
Calculate the check digit for ISBN-10: 0-07-296775-C.
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