Given: An $8$:$1$ multiplexer has data inputs $D_0,D_1,$dots,$D_7,$ select inputs $S_{2\text{:}0},$ and output $Y.$

Suppose $D_0=1,D_1=0,D_2=0,D_3=0,D_4=1,D_5=0,D_6=1,D_7=1,S_2=0,S_1=1,$ and $S_0=$

What is the value of $Y?$

$Y=0$

$Y=1$

Not enough information given to answer the question

$Y=Z$

$Y=x$