Design a comparator circuit that takes two 2-bit numbers a and b as its inputs, and provides an output gt that is set to 1 when is greater than b. Here is the block diagram representing the interface of the circuit: a) (1 pt.) Draw a truth table. b) (1 pt.) Use a Karnaugh map to obtain a minimal Boolean function for output gt. You may build the Karnaugh map directly from the truth table. c) (1 pt.) Draw a circuit diagram that complies with the exact interface shown above. Your diagram would act as the "content" of that box