Design a circuit with output f and inputs x1, x0, y1, and y0. Let X=x1x0 and Y=y1y0 represent two 2-digit binary numbers. The output f should be 1 if...

Design a circuit with output f and inputs x1, x0, y1, and y0. Let X=x1x0 and Y=y1y0 represent two 2-digit binary numbers. The output f should be 1 if the numbers represented by X and Y satisfies X≥Y.

(a) Show the truth table for f.

(b) Show the canonical sum of products expression for f.

(c) Show the simplest possible sum-of-products expression for f.