Consider a sequential digital circuit consisting of $\mathrm{T}$ flip-flops and $\mathrm{D}$ flip-flops as shown in the figure. $\text{CLKIN}$ is the clock input to the circuit. At the beginning, $\text{Q1, Q2}$ and $\text{Q3}$ have values $0,1$ and $1,$ respectively.
Which one of the given values of $\text{(Q1, Q2, Q3)}$ can $\text{NEVER}$ be obtained with this digital circuit?
- $(0,0,1)$
- $(1,0,0)$
- $(1,0,1)$
- $(1,1,1)$