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

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

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

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

Here the required flip-flop is T flip-flop

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

T	Q_N	Q_N+1
0	0	0
0	1	1
1	0	1
1	1	0

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

Q_N	Q_N+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 T flip-flop from JK flip-flop is as follows

T	Q_N	Q_N+1	J	K
0	0	0	0	X
0	1	1	X	0
1	0	1	1	X
1	1	0	X	1

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 T flip-flop

Expression for J would be

J = T

Now, K-Map for K:

Therefore, Expression for K would be

K = T

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

For this, connect both the inputs of the given flip-flop (JK flip-flop) to T as obtained from the expression of J and K. Therefore, the circuit would be:

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

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