4. (15 points) Design a circuit that compares the two-bit integers (xixo)2 and (yyo)2, returning an output of 1 when the first 2-bit number is larger and an output of 0 otherwise. a) b) (3 points) Construct the truth table. (4 points) Find the output Boolean function in the canonical sum-of-product format and the canonical product-of-sum format, respectively. c) (4 points) Using K-Map to find the simplified output Boolean function d) (4 points) Construct the circuit for the obtained Boolean function in part (c). 4. (15 points) Design a circuit that compares the two-bit integers (xixo)2 and (yyo)2, returning an output of 1 when the first 2-bit number is larger and an output of 0 otherwise. a) b) (3 points) Construct the truth table. (4 points) Find the output Boolean function in the canonical sum-of-product format and the canonical product-of-sum format, respectively. c) (4 points) Using K-Map to find the simplified output Boolean function d) (4 points) Construct the circuit for the obtained Boolean function in part (c)