Flip-flop Conversion – JK flip-flop to SR flip-flop

Here you would see how to implement a SR flip-flop from JK flip-flop step by step – "Flip-flop Conversion – JK flip-flop to SR flip-flop"


Flip-flop Conversion – JK flip-flop to SR flip-flop


Step 1: Write the truth table of the required flip-flop

Here the required flip-flop is SR flip-flop

Hence you need to write the truth table of SR flip-flop which is

S

R

QN

QN+1

0

0

0

0

0

0

1

1

0

1

0

0

0

1

1

0

1

0

0

1

1

0

1

1

1

1

0

X

1

1

1

X


Step 2: Write the excitation table of the given flip-flop

In this case the given flip-flop is JK flip-flop

Therefore, you need to write the excitation table of JK flip-flop which is

QN

QN+1

J

K

0

0

0

X

0

1

1

X

1

0

X

1

1

1

X

0


Step 3: Write the conversion table

The conversion table, which is a combination of truth table and excitation table, to implement a SR flip-flop from JK flip-flop is as follows

S

R

QN

QN+1

J

K

0

0

0

0

0

X

0

0

1

1

X

0

0

1

0

0

0

X

0

1

1

0

X

1

1

0

0

1

1

X

1

0

1

1

X

0

1

1

0

X

X

X

1

1

1

X

X

X


Step 4: Find the Boolean expressions for the inputs of the given flip-flop

In this case the given flip-flop is JK.

Therefore, write the Boolean expressions for J and K from the conversion table using K-Maps.

K-Map for J:

Flip-flop Conversion – JK flip-flop to SR flip-flop


Expression for J would be

J = S


Now, K-Map for K:

Flip-flop Conversion – JK flip-flop to SR flip-flop


Therefore, Expression for K would be

K = R


Step 5: Draw the circuit for implementing SR flip-flop from JK flip-flop

For this, connect the J input of the given flip-flop (JK flip-flop) to S as obtained from the expression of J.

And connect the K input of the JK flip-flop to R, as obtained from the expression of K.

Therefore, the circuit would be:

Flip-flop Conversion – JK flip-flop to SR flip-flop


In this way a SR flip-flop can be implemented using a JK flip-flop. Hope this post on “Flip-flop Conversion – JK flip-flop to SR flip-flop” would help in clearing many doubts in flip-flopconversions.



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