Please explain your answer.

The following state table describes a sequential circuit with one synchronous input X and one mealy output Z. The initial state is 000. Using the state assignments (Q2Q1Q0) defined above, determine the simplified equation for the next state of each state variable and the output Z. Use a minimum cost strategy (use don't care for any unused state assignments). (a) Q2* = (b) Q1* = (c) Q0* = (d) Z =