Below is a circuit, implemented using a 3:8 decoder, for a strange counter.  Derive the state diagram for the counter.  Begin by assuming the circuit starts in the state where all flip-flops are 0.  The order is ABC, for example, state 001 corresponds to A=0, B=0, C=1.

Complete the truth-table below.

What is the next state from 000?       _____100______

What is the next state from 010?       _____001______

Are there any unused states?  If so, what are they?     _____110______

Complete the state diagram below.