please explain all answers clearly.

5. (20 points) Filtered Linear Feedback Shift Register basics. In this exercise we consider the following filtered LFSR. 82 083 S4 S5 S6 mux 20 21 22 ... 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 + 286. Express the output function for z in terms of S6 10 pt So, ..., 5. (20 points) Filtered Linear Feedback Shift Register basics. In this exercise we consider the following filtered LFSR. 82 083 S4 S5 S6 mux 20 21 22 ... 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 + 286. Express the output function for z in terms of S6 10 pt So