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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
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1 Answer

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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
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