Design a three-bit counter-like circuit controlled by the input w. If w=0, then the counter subtracts 1 from its contents, acting as a normal...

Design a three-bit counter-like circuit controlled by the input w. If w=0, then the counter subtracts 1 from its contents, acting as a normal down-counter. If w=1, then the counter adds 2 to its contents, wrapping around if the count reaches 8 or 9. Thus if the current state is 6 and w=1, then the next state should becomes 0. If the current state is 7 and w=1, then the next state should becomes 1. Use D flip- flops in your circuit. Please show the state diagram (or state table), state assignment, state-assigned table, expressions for next-state logic and output logic, and the circuit diagram of your design.