Practice Replacing Conjunction with Negation and Disjunction - 7.2.3 | 7. Tutorial 1: Part II | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the equivalent of 'p → q'?

💡 Hint: Think about how you can express implication using disjunction.

Question 2

Easy

How do you express 'p ∧ q' using only negation and disjunction?

💡 Hint: Consider De Morgan's laws.

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 is the equivalent of p → q?

  • ¬q ∨ p
  • ¬p ∨ q
  • p ∧ q

💡 Hint: Remember how you transformed implications.

Question 2

True or False: {AND, OR, NOT} together form a functionally complete set.

  • True
  • False

💡 Hint: Think about examples you’ve seen.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Show how to express (p ∧ q) using only disjunction and negation.

💡 Hint: Use De Morgan's laws to navigate through.

Question 2

Determine if {NOT, OR} is functionally complete and provide proof.

💡 Hint: Consider the relationships between the operations you've learned.

Challenge and get performance evaluation