Question: 1. (30 points) Consider the 2-out-of-5 error detection code. In this code, each codeword is 5 -bit long; 2 out of 5 bits are 1's

1. (30 points) Consider the 2-out-of-5 error detection code. In this

1. (30 points) Consider the 2-out-of-5 error detection code. In this code, each codeword is 5 -bit long; 2 out of 5 bits are 1's and the others are 0's. For example, 01001 is a valid codeword, but 11110 is not. a. (10 points) List all the codewords. b. (10 points) What fraction of errors is undetectable by this code, i.e., what is FUE of this code? Justify your answer. c. (10 points) What fraction of 4-bit errors is undetectable by this code, i.e., what is FUE(M = 4) of this code? Justify your

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