Problem 6: Given two inputs x=(x1,x0) and y=(y1,y0), the output is the absolute value of their difference: z=3yx. Use multiplexers to implement the function. Problem 7: Implement the following gates with 2-input multiplexers, assuming that complemented and uncomplemented variables are available: 3-input OR 2-input NOR, NAND, XOR and XNOR Problem 8: Implement the following expression using multiplexers (Only uncomplemented variables are given.): f=x1x2+x3,x2x1+x1x2+x2x3