Design a combinational logic circuit using VHDL coding that executes the arithmetic and logic unit $($ALU$)$ functions below for the given inputs for registers $A,B$ and $G,$ which are $8$ bits each. $x$ is a binary input. Then execute the following mathematical operation:

$G=\{\begin{array}{cc}\frac{A}{B},& x=1\\ A_{0}xor{B}_7+A_{1}xor{B}_6+A_{2}xor{B}_5+A_{3}xor{B}_4,& x=0\end{array}$

TABLE $8-2$

Function Table for ALU

Operation Select

$\backslash$table$[[S_2,s_1,S_0,C_{in},$Operation,Function$],[0,0,0,0,G=A,$Transfer $A$