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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a functionally complete set of logical operators.
💡 Hint: Think about the basic logical operators you know.
Question 2
Easy
What does negation do to a proposition?
💡 Hint: Remember the effect of NOT on true statements.
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
Which of the following sets of operators is functionally complete?
- Just AND
- AND and OR
- AND
- OR
- and NOT
💡 Hint: Think of the basic logical operations.
Question 2
True or False: If a proposition is a tautology, its negation is satisfiable.
- True
- False
💡 Hint: Consider the definitions of tautology and satisfiability.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Show that the expression p ∨ q is equivalent to ¬(¬p ∧ ¬q) using truth tables.
💡 Hint: Remember that equivalence means they must have the same output for every input.
Question 2
Prove that the expression p → (q ∧ r) is functionally complete by expressing it with AND and NOT.
💡 Hint: Focus on breaking down the implication step-by-step.
Challenge and get performance evaluation