Practice De Morgan’s Theorems (1.5) - ICSE Class 12 Computer Science

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6 sample questions

Question 1.
What is the first De Morgan's theorem?
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Think about how ANDs transform when negated.
Question 2.
Write the second De Morgan's theorem in symbols.
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Focus on the relationship between ORs and negation.
3Question 3.
What does the first De Morgan's Theorem state?
- (A + B)' = A' ∙ B'
- (A ∙ B)' = A' + B'
- (A + B)' = A + B'
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Remember the transformations between AND and OR.
4Question 4.
True or False: The second De Morgan's Theorem can be written as (A + B)' = A ∙ B.
- True
- False
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Focus on how negation affects the operators.
Question 5.
Using only NAND gates, design a circuit for the expression (A + B + C)' and show the truth table.
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Break the expression down stepwise, applying De Morgan's transformations.
Question 6.
Prove the equivalence of the two forms, A + 0 and A, using the second De Morgan's Theorem.
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Examine negated outcomes to affirm their relationships.

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