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

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

Flip-flop Conversion – D 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 D flip-flop

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

Q_N	Q_N+1	D
0	0	0
0	1	1
1	0	0
1	1	1

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 D flip-flop is as follows

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

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

In this case the given flip-flop is D.

Therefore, write the Boolean expression for D from the conversion table using K-Map.

K-Map for D:

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

Expression for D would be

D = T^/Q_N + TQ_N^/

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

For this, connect the input D of the given flip-flop (D flip-flop) to the circuit made for the expression of D obtained from the K Map. Therefore, the circuit would be:

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

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