Design a counter circuit with sequence 0, 1, 2, …, 11 and repeat using JK flip-flops....
Design a counter circuit with sequence 0, 1, 2, …, 11 and repeat using JK flip-flops. Design the circuit with pen and paper and then simulate it using Logisim (justify the input values chosen)
Homework Answers
State Table
|
PRESENT STATE |
NEXT STATE |
JK EXCITATION INPUTS |
|||||||||||||
|
Q3 |
Q2 |
Q1 |
Q0 |
Q3+ |
Q2+ |
Q1+ |
Q0+ |
J3 |
K3 |
J2 |
K2 |
J1 |
K1 |
J0 |
K0 |
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
X |
0 |
X |
0 |
X |
1 |
X |
|
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
X |
0 |
X |
1 |
X |
X |
1 |
|
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
X |
0 |
X |
X |
0 |
1 |
X |
|
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
X |
1 |
X |
X |
1 |
X |
1 |
|
0 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
X |
X |
0 |
0 |
X |
1 |
X |
|
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
X |
X |
0 |
1 |
X |
X |
1 |
|
0 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
X |
X |
0 |
X |
0 |
1 |
X |
|
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
X |
X |
1 |
X |
1 |
X |
1 |
|
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
X |
0 |
0 |
X |
0 |
X |
1 |
X |
|
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
X |
0 |
0 |
X |
1 |
X |
X |
1 |
|
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
X |
0 |
0 |
X |
X |
0 |
1 |
X |
|
1 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
X |
1 |
0 |
X |
X |
1 |
X |
1 |
|
1 |
1 |
0 |
0 |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
|
1 |
1 |
0 |
1 |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
|
1 |
1 |
1 |
0 |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
|
1 |
1 |
1 |
1 |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
X |
K Map Simplification for JK Inputs
LogiSim Implementation
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