Design a digital logic circuit (LookUp Table or LUT) with three inputs, x, y and 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