I am stuck with no idea where to turn to in regards to our mini-project..My counter sequence are..0,2,1,5,4,6,7,5..I have drawn the state transition diagram and the truth table from the circuit excitation table but I got stuck with the Boolean equation part because 5 repeats itself. Do I implement a mux or something to cater for the time when 101(5) has 2 answers?????..Please all am asking for is a push in the right direction.

 

It looks like your sequence is the output of the system?

If this is the case, then there should be no problem, because you will have two separate internal states that both give an answer of '5', but they should be independent of each other.