Question

The characteristic equation for the complement output of a J K flip-flop is

• A. $\overline{J}Q+\overline{K}Q$
• B. $\overline{J}\overline{Q}+\overline{K}Q$
• C. $\overline{J}Q+K\overline{Q}$
• D. $\overline{J}\overline{Q}+KQ$

Answer 1

The correct option is D $\overline{J}\overline{Q}+KQ$

Characteristic equation for the J K flip-flop,
$Q_{(t+1)}=J\overline{Q}+\overline{K}Q\overline{Q_{(t+1)}}=\overline{(J\overline{Q}+\overline{K}Q})=(\overline{J}+Q\left)\right(K+\overline{Q)}\overline{Q_{(t+1)}}=\overline{J}\overline{Q}+KQ$