Design a circuit that compares the two-bit unsigned integers (X1X0)2 and (y1y0)2, returning an output of...

   

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Design a circuit that compares the two-bit unsigned integers (X1X0)2 and (y1y0)2, returning an output of 1 when the first 2-bit number is larger and an output of 0 otherwise. For example, (10)2 is larger than (01)2, so the circuit output is 1. a) (5 points) Construct the truth table. b) (5 points) Find the output Boolean function in the canonical sum-of-product format and the canonical product-of-sum format, respectively. c) (5 points) Using K-Map to find the simplified output Boolean function. Design a circuit that compares the two-bit unsigned integers (X1X0)2 and (y1y0)2, returning an output of 1 when the first 2-bit number is larger and an output of 0 otherwise. For example, (10)2 is larger than (01)2, so the circuit output is 1. a) (5 points) Construct the truth table. b) (5 points) Find the output Boolean function in the canonical sum-of-product format and the canonical product-of-sum format, respectively. c) (5 points) Using K-Map to find the simplified output Boolean function.

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