1) Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given...

 

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1) Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given as g(x) = 1+X+X+X5+X8+X0. a. Design and draw the circuit of the feedback shift register encoder and decoder. (6 Marks) b. Use the encoder obtained in part a to find the code word for the message (Assume the right most bit is the earliest bit) c. Repeat the steps of part b for decoding. d. Verify the codeword obtained in part b polynomial division method e. Consider a codeword C = [ 110110010101100 system? Provide suitable justification for your answer. 01110 (5 Marks) (5 Marks) (5 Marks) Is this a codeword of the above (4 Marks) 1) Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given as g(x) = 1+X+X+X5+X8+X0. a. Design and draw the circuit of the feedback shift register encoder and decoder. (6 Marks) b. Use the encoder obtained in part a to find the code word for the message (Assume the right most bit is the earliest bit) c. Repeat the steps of part b for decoding. d. Verify the codeword obtained in part b polynomial division method e. Consider a codeword C = [ 110110010101100 system? Provide suitable justification for your answer. 01110 (5 Marks) (5 Marks) (5 Marks) Is this a codeword of the above (4 Marks)