Design a synchronous sequential circuit that will count through the sequence 0,1,3,5,7 when the control input, x=0; and through the sequence 7,5,3,1,0 when x=1. The circuit should return to state 0 if it falls into states 2, 4, or 6. Note: the sequence cycles - 0,1,3,5,7,0,1,3,... (a) Draw a state diagram for the circuit (b) Draw a state transition table for the circuit