1.1k views
2 votes
A counter with three JK flip flops (A, B, C) goes through the sequence 0,1,2,3,4,5,6 and repeat. The flip flop input equations are given by the following equations.

JA​=BC
JB​=C
JC​=A′​
KA​=B
KB​=A+C
KC​=1​

Check whether the counter is self-correcting or not. No credits will be given if work is not shown.

User OCa
by
7.8k points

1 Answer

0 votes

The counter with three JK flip flops (A, B, C) is not self-correcting. When we analyze the given flip flop input equations, we can see that they do not form a closed loop that guarantees the desired sequence of 0, 1, 2, 3, 4, 5, 6 to repeat indefinitely. This lack of a closed loop leads to the counter being non-self-correcting.

To further explain the answer, let's examine the flip flop input equations in detail. The input equations for the JK flip flops are as follows:

JA = BC

JB = C

JC = A'

KA = B

KB = A + C

KC = 1

From these equations, we can deduce that the value of flip flop A depends on the current values of flip flops B and C, while flip flop B depends solely on the value of flip flop C, and flip flop C depends on the complement of flip flop A. Since there is no direct feedback from the outputs of the flip flops to their respective inputs, the counter does not form a closed loop that would ensure the desired sequence. As a result, the counter may exhibit undesired behavior and fail to produce the expected repeating sequence of 0, 1, 2, 3, 4, 5, 6.

In conclusion, due to the absence of a closed loop in the flip flop input equations, the given counter is not self-correcting and may not generate the desired sequence reliably.

To learn more about sequence refer

User Yuichiro
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories