Suppose you have an LFSR with 6 state bits. The first 12 bits of output produced by this LFSR are 011110001001 = 80 81 82 83 84 85 86 87 88 89810811. The first bit produced is the leftmost bit and the bit most recently produced is the rightmost bit. a) What is the initial state of the LFSR? Please enter your answer as unspaced binary digits (e.g. 010101 to represen 85 = 0, 84 = 1, 83 = 0, 52 = 1,810, 801). b) What are the tap bits of the LFSR? Please enter your answer as unspaced binary digits (e.g. 010101 to represent P5 = 0, P4 = 1,p3 = 0, p2 = 1,p1 = 0, po = 1). Consider the LFSR represented by the polynomial x + x + x + 1. What are the tap bits of the LFSR? Please enter your answer as unspaced binary digits (e.g. 010101 to represent P5 = 0, P4 = 1, P3 = 0, p2 = 1,p1 = 0, po = 1). Consider the LFSR represented by the polynomial x4 + x +1. What are the tap bits of the LFSR? Please enter your answer as unspaced binary digits (e.g. 010101 to represent P5 = 0,p4 = 1, P3 = 0, p2 = 1,p1 = 0, po = 1).