MOD 4 Synchronous Counter using JK Flip-flop

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

MOD 4 Synchronous Counter using JK 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 4. i.e., M = 4

Therefore, 4 ≤ 2^N 

=> N = 2

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

Excitation table of JK flip-flop 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 circuit state table by using excitation table

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

QA	QB	QA+1	QB+1	JA	KA	JB	KB
0	0	0	1	0	X	1	X
0	1	1	0	1	X	X	1
1	0	1	1	X	0	1	X
1	1	0	0	X	1	X	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:  J_A, K_A, J_B & K_B 

K Map for J_A :

Therefore,  J_A =  Q_B

K Map for K_A :

Therefore, K_A = Q_B

K Map for J_B :

Therefore, J_B = 1

K Map for K_B :

Therefore, K_B = 1

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

Circuit for MOD 4 Synchronous Counter using JK Flip-flop would be

In this way "MOD 4 Synchronous Counter using JK Flip-flop" can be designed.

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