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Digital Electronics

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Submitted By sachin158
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J-K Flip-Flop Basic R-S Flip-Flop Basic flip-flops are designed to ‘store’ a logic state. The simplest flip-flop is known as the R-S flip-flop, which consists of two NAND gate wired to give negative feedback and is shown in Figure 1.

S

NAND

Q

R

NAND

Q

R-S Flip-Flop
Figure 1 Simple NAND R-S Flip-Flop In normal operation the, with the reset (R) set to logic ‘0’ the output Q will follow the logic level applied to the set (S) input. When R is set to logic ‘1’ whatever was set on Q will remain regardless on whether the S input continues to change until the reset input is returned to logic ‘0’. The major drawback of this circuit is that it is not possible to predict the output when a logic ‘1’ is simultaneously applied to the S & R inputs. Therefore, more complex Flip-flops are designed to ensure that these indeterminate states do not exit and the most common circuits are D-type and J-K Flip-flops.

Sheet 2 of 3

J-K Flip-Flop The basic J-K Flip-flop is shown in Figure 2.

J
NAND
NAND

Q

Clk

K

NAND

Q

NAND

Slave Latch

Figure 2 Simple J-K Flip-flop Like the R-S flip-flop the outputs follow the inputs when the Clk is logic, but there are two inputs, traditionally labelled J and K. If J and K are different then the output Q takes the value of J at the next clock edge. If J and K are both low then no change occurs. If J and K are both high at the clock edge then the output will toggle from one state to the other. It can perform the functions of the R-S Flipflop and has the advantage that there are no ambiguous states. Due to the extra logic that ensures only one of the R and S inputs is enabled at any time. This prevents possible oscillation, which can occur when both inputs of an RS flip-flop are active at the same time. The truth table of this J-K flip-flop is shown in Table 1. J 0 0 1 1 K 0 1 0 1 Clk Pos-edge Pos-edge Pos-edge Pos-edge Q Q_bar No change 0 1 1 0 Toggle

Table 1 Truth table for the simple J-K Flip-flop of Figure 2 One problem with the basic J-K Flip-flop is that spikes can appear on the output and there is an unstable state when both J & K inputs are logic ‘0’. This can be eliminated by adding another ‘latch’ circuit of this flip-flop to isolate the outputs Q and Q_bar from the inputs J & K as shown in Figure 3.

The inverter connected between the two CLK inputs ensures that the two sections will be enabled during opposite half-cycles of the clock signal.

Sheet 3 of 3

J
NAND
NAND
NAND

NAND

Q

Clk

K

NAND

NAND
NAND

Q

NAND

Master Latch

Slave Latch

NOT

Figure 3 Circuit of J-K Flip-flop note 3-input NAND gates are used on the input, the additional latch ensures edge operation and this circuit is known as a JK master-slave flip-flop. In normal operation the J-K flip-flop operates as per the R-S flip flop, however there are a couple of acceptions. The outputs only change on the falling edge of an applied clock pulse to the ‘Clk’ input. This circuit can also act as a T-type Flip-flop, to accomplish toggling action if J and K are tied together. This toggle application finds extensive use in binary counters and in frequency division found in prescalars.

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