Problem

The UPC and many credit card check digits are calculated using a two-weight scheme. Cons...

The UPC and many credit card check digits are calculated using a two-weight scheme. Consider other two-weight schemes. Suppose a five-digit identification number is created so that the fifth digit is the remainder when the weighted sum of the first four digits is divided by 9.

The weighted sum is

a. Will all single-digit errors be detected? Explain why or why not.

b. Give an example of an adjacent transposition error that will not be detected.

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Solutions For Problems in Chapter 1.1

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