4 problems. 25 pts each. 425=100 total pts. 1. (25 pts) LUT design (LUT = LookUp Table) Design a digital logic circuit with three (binary) inputs, x,y and z,(07 in decimal) and the three (binary) 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 using K-maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates