A three-bit Johnson counter advances through the sequence XYZ = 000, 100, 110, 111, 011, 001, and repeats. Assume that the counter never enters the states 010 or 101 (hint, you will need "don't cares"). We wish to implement the Johnson counter as a Moore machine using three (3) D flip-flops. Give the simplified excitation equations for each of the flip-flops, and draw the circuit. There is no input in this system, as the counter advances on every clock cycle.