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( ii ) Consider a characteristic polynomial x 5 + x + 1 . Now answer the following and you must show your work for

(ii)Consider a characteristic polynomial x5+x+1. Now answer the following and you must show your work for full credit.
(7)
(ii.a)Is this polynomial primitive?
(ii.b)Give an internal exclusive-OR (modular) realization of this polynomial.
(ii.c)Design a four stage cellular automata whose cells follow Rule 90.
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