4. Design a circuit that compares the two-bit integers (x,Xo)2 and (yiyo)2, returning an output of 1 when the first 2-bit number is larger and an output of 0 otherwise. a) Construct the truth table. b) Find the output Boolean function in the canonical sum-of-product format and the canonical product-of-sum format, respectively c) Using K-Map to find the simplified output Boolean function d) Construct the circuit for the obtained Boolean function in part (c)