### MOD 4 Synchronous Counter using T Flip-flop

Here you would see how to design a MOD-4 Synchronous Counter using T Flip-flop step by step.

## MOD 4 Synchronous Counter using T Flip-flop

### Step 1: Find the number of Flip-flops needed

The number of Flip-flops  required can be determined by using the following equation:

M ≤ 2

where, M is the MOD number and N is the number of required flip-flops.

Here, MOD number is equal to 4. i.e., M = 4

Therefore, 4 ≤ 2

=> N = 2

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

Excitation table of T flip-flop is:

 QN QN+1 T 0 0 0 0 1 1 1 0 1 1 1 0

### Step 3: Write the circuit state table by using excitation table

Circuit state table for designing MOD 4 Synchronous Counter using T Flip-flop would be

 QA QB QA+1 QB+1 TA TB 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1

### Step 4: Prepare K Map for each flip-flop input in terms of flip-flop outputs as the input variables

In this case inputs of the flip-flops are:  TA & T

K Map for TA :

Therefore,  TA =  Q