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

Here you would see how to design SR flip-flop using T flip-flop step by step – "Flip-flop Conversion - T flip-flop to SR flip-flop".


Flip-flop Conversion – T 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 T flip-flop

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

QN

QN+1

T

0

0

0

0

1

1

1

0

1

1

1

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 using T flip-flop is as follows

S

R

QN

QN+1

T

0

0

0

0

0

0

0

1

1

0

0

1

0

0

0

0

1

1

0

1

1

0

0

1

1

1

0

1

1

0

1

1

0

X

X

1

1

1

X

X


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

In this case the given flip-flop is T flip-flop.

Therefore, write the Boolean expression for T from the conversion table using K-Maps.


K-Map for T:

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

Expression for T would be

T = RQN + SQN/


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

For this, connect the input of the T flip-flop to the circuit of the Boolean expression for T.

Therefore, the circuit would be:

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

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



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