$(1$ point$)$ Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzl.

Suppose you have an LFSR with $6$ state bits. The first $12$ bits of output produced by this LFSR are

$100010001000=s_0{s}_1{s}_2{s}_3{s}_4{s}_5{s}_6{s}_7{s}_8{s}_9{s}_{10}{s}_{11}.$

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 represent $($:$s_5=0,s_4=1,s_3=0,s_2=1,s_1=0,s_0=1$