A sequential circuit has three D flip-flops $A, B, C$ and one input $X$. The circuit is described by the following input equations:
$$D_A = (B\bar C + \bar BC ) X + (BC + \bar B \bar C) \bar X , \\D_B = A , \\D_C = B$$
What is the next state for the circuit for $X=0$ when present state $A, B ,C$ is $0, 0, 0$?
- 0 1 0
- 1 0 0
- 0 0 0
- 0 0 1