(a) Prove that if a transposition error is made in the second and third entries of the...

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(a) Prove that if a transposition error is made in the second and third entries of the UPC [0, 7, 4, 9, 2, 7, 0, 2, 0, 9, 4, 6], the error will be detected.

(b) Show that there is a transposition involving two adjacent entries of the UPC in part (a) that would not be detected.

(c) In general, when will the Universal Product Code not detect a transposition error involving two adjacent entries?

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