MOD 5 Synchronous Counter using T Flip-flop

This post is about how to design a MOD-5 Synchronous Counter using T Flip-flop step by step.

MOD 5 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^N

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

Here, MOD number is equal to 5. i.e., M = 5

Therefore, 5 ≤ 2^N

=> N = 3

Therefore, to design a MOD 5 Counter, 3 flip-flops would be required.

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

Excitation table of T flip-flop is:

Q_N	Q_N+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 5 Synchronous Counter using T Flip-flop would be

Q_A

Q_B

Q_C

Q_A+1

Q_B+1

Q_C+1

T_A

T_B

T_C

0

0

0

0

0

1

0

0

1

0

0

1

0

1

0

0

1

1

0

1

0

0

1

1

0

0

1

0

1

1

1

0

0

1

1

1

1

0

0

0

0

0

1

0

0

1

0

1

X

X

X

X

X

X

1

1

0

X

X

X

X

X

X

1

1

1

X

X

X

X

X

X

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: T_A, T_B & T_C

K Map for T_A:

MOD 5 Synchronous Counter using T Flip-flop

Therefore, T_A = Q_A + Q_B. Q_C

K Map for T_B:

Therefore, T_B = Q_C

K Map for T_C:

Therefore, T_C = Q_A^/

Step 5: Draw the circuit using flip-flops and other gates correspond to the minimized expressions

Circuit for MOD 5 Synchronous Counter using T Flip-flop would be

In this way "MOD 5 Synchronous Counter using T Flip-flop" can be designed.

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