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Books are identified by an International Standard Book Number (ISBN-10), a 10-digit code that consists of 9 digits x1, . . . , x9, and

Books are identified by an International Standard Book Number (ISBN-10), a 10-digit code that consists of 9 digits x1, . . . , x9, and a check digit x10 that is either a digit or the letter X (representing 10) such that x10 = X 9 i=1 ixi (mod 11). (a) Can x10 detect a single digit error in x1, . . . , x9? (b) Can x10 detect a transposition error in x1, . . . , x9?

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