Question: 6 . ( 2 0 marks ) Let a LFSR be built with characteristic polynomial f ( x ) = x ^ 4 + x

6.(20 marks) Let a LFSR be built with characteristic polynomial
f(x)= x^4+ x^3+x2+ x +1.
(a)(10 marks) Draw a diagram of the LFSR.
(b)(10 marks) Show the transition diagram for the LFSR. What is the maximal period of its output sequences?

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