Design a circuit for a combination lock with one input, x, and two outputs, unlock and hint. Output unlock should be 1 if and only if x is 0 and the sequence of inputs received on x at the preceding seven clock ticks was 0110111. The hint output should be 1 if and only if the current value of x is the correct one to move the machine closer to being in the "unlocked" state (with unlock = 1).
A) Construct the state diagram
B) Construct the state table
C) Specify a state assignment, and construct the state-assigned table
D) Derive minimal Boolean expressions for the next state variables and the outputs unlock and hint.