Q2. a) The generator polynomial of a cyclic code is given as g(x) = 1 + x + x4 i) Draw the diagram of feedback shift register encoder for the Linear Cyclic code (3 Marks) ii) Illustrate the encoding procedure with the message vector [b b b b] by using the states of the register(the right most bit is the earliest bit) and obtain the final codeword. (7 Marks) iii) Verify the codeword obtained in part c polynomial division method (3 Marks) iv) Devise a syndrome computation circuit for this code. (2 Marks) v) Let r=[c CCCCCC ] be a received vector. Compute the syndrome of r(t). Display the contents of the syndrome register after each digit of r has been shifted into the syndrome computation circuit (6 Marks) vi) Compare the syndrome computation performed part v by performing polynomial division method. (4 Marks)