Question
In: Electrical Engineering
Design a 4 bit Counter that displays even numbers when a switch on, and odd when...
Design a 4 bit Counter that displays even numbers when a switch on, and odd when the switch off . 1.by using multisim (explain in details and information of how you do it in multisim) show steps of multisim and which gates numbers you used.
Solutions
Expert Solution
|
INPUT |
CURRENT STATE |
NEXT STATE |
||||||
|
X |
Q3 |
Q2 |
Q1 |
Q0 |
Q3+ |
Q2+ |
Q1+ |
Q0+ |
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
|
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
|
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
|
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
1 |
|
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
|
0 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
1 |
|
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
|
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
|
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
|
0 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
|
0 |
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
|
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
|
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
|
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
|
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
|
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
|
1 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
|
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
|
1 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
|
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
|
1 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
|
1 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
|
1 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
|
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
|
1 |
1 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
|
1 |
1 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
|
1 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
|
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
|
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
|
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
|
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
|
1 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
Solving using 5 variable K Map
Q0+ = X’
Q1+ = Q1’Q0 + XQ1’+X’Q1Q0’
Q2+ = Q2Q1’+Q2’Q1Q0+X’Q2Q0’+XQ2’Q1
Q3+ = Q3Q2’+Q3Q1’+X’Q3Q0’+Q3’Q2Q1Q0+XQ3’Q2Q1
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