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ISBN Check Digit Code

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ne012

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The sixth digit in the ISBN 0-7923-519-X was blanked out. Find the missing digit.


The answer is 7, however I am not sure how to arrive at this answer. Can someone please provide a step by step explaination on the method involved to solve the problem?

Thanks
 

I don't actually understand how you have an ISBN with no 6th digit. However, given you now have the equations you could re-arrange them to get any "missing" digit.

Keith.
 

you may check the following method

Code:
The sixth digit in the ISBN 0-7923- 519-X was blacked out. Find the missing digit.
The missing digit x6 satisfies the equation, modulo 11,
0 = 1 · 0 + 2 · 7 + 3 · 9 + 4 · 2 + 5 · 3 + 6 ·x6 + 7 · 5 + 8 · 1 + 9 · 9 + 10 · 10
= 6x6 + 288 = 6x6 + 2 = 6x6 − 9 .
The solution to 6x6 = 9 mod 11, found by trial and error, is 7. The complete ISBN is 0-7923-7519-X.
(The book is JPEG2000, by David S. Taubman and Michael W. Marcellin, Kluwer, 2001.)
regards
bassa
 

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