consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a) Show the

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Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a) Show the truth table for this comparator b) Write the logic equation for Z2 that are true if only if A < B c) Write the logic equation for Z1 that are true if only if A > B d) Write the logic equation for Z0 that are true if only if A = B e) Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f) Use Logisim to verify your design

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