Problem 1 Design a 2-bit comparator circuit with 2 bit numbers A = A1A, and B=B1B, as inputs and 3 outputs indicating whether A=B, A B or A > B. Note that each output corresponds to a unique Boolean function. Show the truth table, derive the Boolean functions in SOP form and implement the logic using a single Programmable Logic Array (PLA). Make judicious use of logic don't cares when creating the truth table. Problem 1 Design a 2-bit comparator circuit with 2 bit numbers A = A1A, and B=B1B, as inputs and 3 outputs indicating whether A=B, A B or A > B. Note that each output corresponds to a unique Boolean function. Show the truth table, derive the Boolean functions in SOP form and implement the logic using a single Programmable Logic Array (PLA). Make judicious use of logic don't cares when creating the truth table