Practice Conversion To Cnf (3.9) - SAT Problem - Discrete Mathematics - Vol 1
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Conversion to CNF

Practice - Conversion to CNF

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Learning

Practice Questions

Test your understanding with targeted questions

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?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Start with the logical identities.

Challenge 2 Hard

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

💡 Hint: Test various truth assignments!

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Reference links

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