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5. (20 points) Filtered Linear Feedback Shift Register basics. In this exercise we consider the following filtered LFSR. Landed --- mux 202122 ... 10 pt (a) Given an initial state s = (1,0,0,1,1,0,0,1,1), what are the first five output bits? (Outputs occur just before iterating the filtered LFSR. (b) The multiplexer here outputs z = sa where A is determined by A = 1 + $5 + 256. Express the output function for z in terms of so, ...,86. 10 pt