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^N 

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 

=> 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

QA	QB	QC	QA+1	QB+1	QC+1	TA	TB	TC
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	1	0	1	0	0	1
1	0	1	1	1	0	0	1	1
1	1	0	1	1	1	0	0	1
1	1	1	0	0	0	1	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:  T_A, T_B & T_C 

K Map for T_A :

Therefore,  T_A = Q_BQ_C 

K Map for T_B  : 

Therefore, T_B =  Q_C

K Map for  T_C:

Therefore, T_C =  1 

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

Circuit for MOD 8 Synchronous Counter using T Flip-flop would be

In this way "MOD 8 Synchronous Counter using T Flip-flop" can be designed.

You may also like:

• REALIZATION OF BOOLEAN EXPRESSIONS AND LOGIC FUNCTIONS USING ONLY NOR GATES
• IMPLEMENTATION OF BOOLEAN EXPRESSION AND LOGIC FUNCTION USING ONLY NAND GATES
• Flip-flop Conversion – SR flip-flop to JK flip-flop
• Flip-flop Conversion – SR flip-flop to D flip-flop
• Flip-flop Conversion – JK flip-flop to D flip-flop
• Flip-flop Conversion – D flip-flop to SR flip-flop
• Flip-flop Conversion – JK flip-flop to SR flip-flop
• Flip-flop Conversion – JK flip-flop to T flip-flop
• Flip-flop Conversion – T flip-flop to D flip-flop
• Flip-flop Conversion – T flip-flop to SR flip-flop
• Flip flop Conversion – D flip-flop to T flip-flop
• Flip flop Conversion – SR flip-flop to T flip-flop
• Flip flop Conversion – T flip-flop to JK flip-flop
• Flip flop Conversion – D flip-flop to JK flip-flop
• 2-Input AND Gate using 2:1 Multiplexer - Basic Gates design using MUX
• 2-Input OR Gate using 2:1 Multiplexer - Basic Gates design using MUX
• 2-Input NAND Gate using 2:1 Multiplexer - Basic Gates design using MUX
• 2-Input NOR Gate using 2:1 Multiplexer - Basic Gates design using MUX
• 2-Input XOR Gate using 2:1 Multiplexer - Basic Gates design using MUX
• Implementation of Boolean Function using Multiplexer