Practice De Morgan’s Theorems - 1.5 | ICSE Class 12 Computer Science – Chapter 1: Boolean | ICSE Class 12 Computer Science
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the first De Morgan's theorem?

💡 Hint: Think about how ANDs transform when negated.

Question 2

Easy

Write the second De Morgan's theorem in symbols.

💡 Hint: Focus on the relationship between ORs and negation.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the first De Morgan's Theorem state?

  • (A + B)' = A' ∙ B'
  • (A ∙ B)' = A' + B'
  • (A + B)' = A + B'

💡 Hint: Remember the transformations between AND and OR.

Question 2

True or False: The second De Morgan's Theorem can be written as (A + B)' = A ∙ B.

  • True
  • False

💡 Hint: Focus on how negation affects the operators.

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Challenge Problems

Push your limits with challenges.

Question 1

Using only NAND gates, design a circuit for the expression (A + B + C)' and show the truth table.

💡 Hint: Break the expression down stepwise, applying De Morgan's transformations.

Question 2

Prove the equivalence of the two forms, A + 0 and A, using the second De Morgan's Theorem.

💡 Hint: Examine negated outcomes to affirm their relationships.

Challenge and get performance evaluation