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Considera convolutional encoder whose trellis diagram is given in the following figure 0/00 10 1175 10 1 01 01 9:01 0,01 1/10 17/10 7/10 a) Find the code rate b) Suppose the data bits (message) are b = 110 10. Find the corresponding codeword c) Find the data vector b which gives the codeword x = (00 11 10 111 d) Suppose that we observe y = (11 01 00 1 0) at the input of the minimum distance decoder. Use Viterbi algorithm to find the decoded codeword X and the decoded message b