Construct the XOR operator using only AND, OR and NOT gates. Construct the XOR operator using only NAND gates. Hint: x XOR y = ((x' y)'(xy')')' Assume you have the following truth tables for functions F(x,y,z) and F(x,y,z): X 0 OC XXN 0 0 0 1 1 1 1 y 0 TTOOT 0 0 1 0 1 0 1 1 0 NOHOHOHOH 1 0 1 1 0 1 0 F F 1 0 0 HHH OOOOo 1 Full-Adder 0 0 0 1 0 CHLOONA 1 1 0 0 1 a) Express F and F in sum-of-products form. b) Simplify each function. c) Draw one logic circuit to implement the above two functions. 1 Design a truth table for a combinational circuit that detects an error in the representation of a decimal digit encoded in BCD (this circuit should output a I when the input is one of the six unused combinations for BCD code). Simplify the function from Exercise 44 and draw the logic circuit. Complete the truth table for the following sequential circuit: D >C Q So