Problem 6: (10 pts) Given a circuit that has two D flip-flops with results QA and QB, one user controlled input X, and one output Z specified by the following truth table:

i. Draw the logic diagram for the circuit

ii. Show a timing trace for the flip flops and the output as far as possible if the input X gave the following values per clock edge:X = 1 1 0 0 1 0 1

Q1-01-1000-1 Q001-10-01-1