Create a 2 bit comparator for A > B. To be clear, this means that both A and B will contain 2 bits each and you are to produce a 1 when A > B and a 0 otherwise. You must create each of the following for your comparator:

A truth table showing all possibilities of the 2 bits for A and B as well as the resulting bit Z

A logic diagram of the comparator using only the three primary gates (cannot use other gates)

A Boolean algebra expression that matches your gate diagram