Use the Linear Feedback Shift Registers $($LFSR$)$ characterized by $($c$2=1,$ c$1=0,$ c$0=1),$ generated a pseudorandom number sequence $(4$ points$)$

a$.$ When Initialization vector $=($s$2=1,$ s$1=0,$ s$0=0)$

Sequence $1,$ Z$0=$

b$.$ When initialization vector $=($s$2=0,$ s$1=1,$ s$0=1)$

Sequence $2,$ Z$0=$

c$.$ How are the two sequences related?