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

1.5 - De Morgan’s Theorems

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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