Not quite sure on these, show steps please. Thanks!

A circuit functions as a specialized three-bit counter, where the sequence of outputs from the circuit are: 001, 100, 111, 001, 100, 111, and so on The mapping of the current state to the next state uses the notation ABC, where A represents the most significant bit of the counter and C represents the least significant bit of the counter 14. Consider the circuit described in Figure 2. Which of the following is the optimal expression for A? A) B) A=B,C, + A,C A = AB,C,+ A,B,C D) A=B, E) None of the above 15 Consider the circuit described in Figure 2. Which of the following is the optimal expression for B? A) B = B,C, B) B=C, C) B = AB,C, D) B=AB, E) None of the above. 16. Consider the circuit described in Figure 2. Which of the following is the optimal expression for C? A) C=AB, C' + ABC E) None of the above