10.6 The J-K Flip-Flop


Another variation on a theme of bistable multivibrators is the J-K flip-flop. Essentially, this is a modified version of an S-R flip-flop with no “invalid” or “illegal” output state. Look closely at the following diagram to see how this is accomplished:

The J and K Inputs

What used to be the S and R inputs are now called the J and K inputs, respectively. The old two-input AND gates have been replaced with 3-input AND gates, and the third input of each gate receives feedback from the Q and not-Q outputs. What this does for us is permit the J input to have effect only when the circuit is reset, and permit the K input to have effect only when the circuit is set. In other words, the two inputs are interlocked, to use a relay logic term, so that they cannot both be activated simultaneously. If the circuit is “set,” the J input is inhibited by the 0 status of not-Q through the lower AND gate; if the circuit is “reset,” the K input is inhibited by the 0 status of Q through the upper AND gate.
When both J and K inputs are 1, however, something unique happens. Because of the selective inhibiting action of those 3-input AND gates, a “set” state inhibits input J so that the flip-flop acts as if J=0 while K=1 when in fact both are 1. On the next clock pulse, the outputs will switch (“toggle”) from set (Q=1 and not-Q=0) to reset (Q=0 and not-Q=1). Conversely, a “reset” state inhibits input K so that the flip-flop acts as if J=1 and K=0 when in fact both are 1. The next clock pulse toggles the circuit again from reset to set.

Logical Sequence of J-K Flip-Flop


The end result is that the S-R flip-flop’s “invalid” state is eliminated (along with the race condition it engendered) and we get a useful feature as a bonus: the ability to toggle between the two (bistable) output states with every transition of the clock input signal.

The Block Symbol for J-K Flip-Flops



  • A J-K flip-flop is nothing more than an S-R flip-flop with an added layer of feedback. This feedback selectively enables one of the two set/reset inputs so that they cannot both carry an active signal to the multivibrator circuit, thus eliminating the invalid condition.
  • When both J and K inputs are activated, and the clock input is pulsed, the outputs (Q and not-Q) will swap states. That is, the circuit will toggle from a set state to a reset state or vice versa.

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