Question

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

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

Answer 1

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

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