### 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 QN QN+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

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

 T QN QN+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:

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.