Help developing sequential circuit for a counter

[csgirl504]

Homework Statement

Create the design for a sequential circuit that counts 0-5 using only D flip-flops. Your
designs should include a state diagram, state table, stated equations, and input equations.
Additionally, draw the circuit diagram that represents your 0-5 counter. Your design
should specify what action your sequential circuit executes when “unreachable” states are
loaded.

Homework Equations

The Attempt at a Solution

I know that I will have 6 states (0-5), so I will need 3 flip-flops.

When I went to create my state table I got confused. Will states 6 and 7 be unreachable? And how do I know what the next states will be?

 

[mfb]

Will states 6 and 7 be unreachable?

At least from 0-5, they are unreachable, right.

And how do I know what the next states will be?

Design your counter for 0-5, and analyze what happens in those two cases afterwards.