A binary $3$-bit down counter uses $J$-$K$ flip-flops, $FF_{i}$ with inputs $J_{i}$, $K_{i}$ and outputs $Q_{i}$, $i$ = $0, 1, 2$ respectively. The minimized expression for the input from following is :
- $J_{0} = K_{0} = 0$
- $J_{0} = K_{0} = 1$
- $J_{1} = K_{1} = Q_{0}$
- $J_{1} = K_{1} = \overline{Q}_{0}$
- $J_{2} = K_{2} =Q_{1} Q_{0}$
- $J_{2} = K_{2} =\overline{Q}_{1} \overline{Q}_{0}$
- I, III, V
- I, IV, VI
- II, III, V
- II, IV, VI
