Design a circuit with output f and input x1,x0,y1 and y0. let x=x1x0 be a number, where the four possible valuse of x, namely,00,01,10, and 11, represent the four numbers 0,1,2 and 3 ,respectively. similarly, let y=y0y1 represent another number with the same four possible values. the output f should be 1 if the numbers represented by x and y are equal.otherwise, f should be 0.
A- show the truth table for f
B- synthesize the simplest possible product-of-sums expression for f