Implement a combinational circuit that computes the following function:

$f(x)=\{\begin{array}{ccc}{x}^2+1,& \text{f}\text{o}\text{r}x=0,1,2,& 3\\ x+3,& \text{f}\text{o}\text{r}x=4,5,6,& 7\end{array}$

$,$ where $x$ is a three$-$bit number $($Assume $x_2,x_1,x_0$ as $A,B,C.$

Answer the following:

$1-$ Fill the truth table:

$\backslash$table$[[A,B,C,F3,F2,F1,F0$