(Solved): (25 pts) LookUp Table (LUT) design Design a digital logic circuit (LookUp Table or LUT) with three ...

(25 pts) LookUp Table (LUT) design Design a digital logic circuit (LookUp Table or LUT) with three inputs, $$\mathbf{x},\mathbf{y}$$ and $$\mathbf{z}$$, and the three outputs, A, B, and C. When the binary input is 0,1 , 2, or 3 , the binary output is 2 greater than the input. When the binary input is $$4,5,6$$, or 7 , the binary output is 2 less than the input. Set-up the appropriate truth table, simplify (minimally) using K-maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates.