Practice Conversion to CNF - 3.9 | 3. SAT Problem | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does it mean for a proposition to be satisfiable?

💡 Hint: Think about truth assignments for variables.

Question 2

Easy

Define a literal.

💡 Hint: What basic elements make up propositional logic?

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 a satisfiable proposition?

  • Always false for any assignment
  • True for all assignments
  • True for at least one assignment

💡 Hint: Consider the definition of satisfiability.

Question 2

In CNF, what is the form of a clause?

  • A conjunction of literals
  • A disjunction of literals
  • A sequence of variables

💡 Hint: Focus on how CNF is structured.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Convert the expression (¬A ∧ (B ∨ C)) → D into CNF.

💡 Hint: Start with the logical identities.

Question 2

Determine whether the expression (A ∨ B) ∧ (¬A ∨ C) is satisfiable. Explain your reasoning.

💡 Hint: Test various truth assignments!

Challenge and get performance evaluation