Question

The characteristic equation of J-K flip-flop is ______________

(a) Q(n+1)=JQ(n)+K’Q(n)

(b) Q(n+1)=J’Q(n)+KQ'(n)

(c) Q(n+1)=JQ'(n)+KQ(n)

(d) Q(n+1)=JQ'(n)+K’Q(n)

This question was posed to me in unit test.

The origin of the question is Triggering of Flip Flops topic in chapter Flip-Flops of Digital Circuits

Answer 1

Right option is (d) Q(n+1)=JQ'(n)+K’Q(n)

The best I can explain: A characteristic equation is needed when a specific gate requires a specific output in order to satisfy the truth table. The characteristic equation of J-K flip-flop is given by: Q(n+1)=JQ'(n)+K’Q(n).