A logic circuit has two 2-bit natural binary inputs A and B. A is given by A₁, A₀, where A₁ is the most significant bit. Similarly, Bis given by B₁, B₀, where B1 is the most-significant bit. The circuit has three outputs, X, Y, and Z. This circuit compares A with B and determines whether A is greater or less than B or is the same as B. The relationship between inputs A and B and outputs X, Y, and Z is as given in Table P2.39. Design a circuit to implement this function.

TABLE P2.39 Condition A> B A