### MOD 8 Synchronous Counter using T Flip-flop

This post is about how to design a MOD-8 Synchronous Counter using T Flip-flop step by step.

## MOD 8 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 8. i.e., M = 8

Therefore, 8 ≤ 2

=> N = 3

Therefore, to design a MOD 8 Counter, 3 flip-flops would be required.

### 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 8 Synchronous Counter using T Flip-flop would be

### 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, TB & TC

K Map for TA :

Therefore,  TA = QBQC

K Map for TB  :