Question $24($Mandatory$)(4$ points$)$

$($Show your work.$)$ Consider the degree$-4$ LFSR given by

$P(x)=x^4+x^2+1.$ What is the one period of key stream if the

sequence has seed $(s_3,s_2,s_1,s_0)=1111$ in the form of

$(dots,s_5,s_4,s_3,s_2,s_1,s_0)?$

A$)001111$

B$)011111$

C$)111100010$

D$)001101$