Digital Logic 2071
Long Questions:
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Attempt any two questions: (2 × 10=20)
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1. What are the various types of numbering system use in the digital logic? Explain. Convert the 3EC816 into different numbering system that you know.
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2. Design the mod-6 asynchronous counter and explain with truth table.
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3. What is demultiplexer? Draw its block diagram and explain its working principle.
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Short Questions:
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Attempt any eight questions: (8 × 5=40)
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4. Convert the hexadecimal number 2BFC to binary and then to octal.
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5. Proof the De-Morgan 1st and 2nd theorem with truth table and logic gates.
De-Morgans Theorem
De Morgan’s theorem is used to convert OR type of expression into AND type and vice-versa.It is further divided into two different types;
1st law:
It state that the total complement of sum is equal to the product of individual complement. i.e. (A+B)’=A’ ٠B’
Proof:
Input |
Output |
||
A |
B |
(A+B)’ |
A’ ٠B’ |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
|
2nd law:
It state that the total complement of the product is equal to the sum of individual complement. i.e. (A٠B)’ =A’+B’
Proof:
Input |
Output |
||
A |
B |
(A٠B)’ |
A’+B’ |
0 |
0 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
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6. Simplify, the following Boolean function using three variable K-map.
a) F(X,Y,Z) = ∑(0,3,2,5)
b) F(A,B,C) = ∑(0,2,4,5,6)
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7. Simplify the Boolean expression.
prepare truth table to show that the simplified expression is correct or not?
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8. Explain the PLA (Programmable Logic Array).
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9. How JK flip flop can convert into a D-flip flop?
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10. What do you mean by synchronous counter? Explain with truth table.
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11. Draw a 3 to 8 decoder circuit and explain its operation.
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12. Mention the difference types of shift register and explain.
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13. Write short notes on:-
a) CMOS
b) Universal gates
c) Error detection code
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