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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define functional completeness in your own words.
💡 Hint: Consider how operators like AND, OR, and NOT interact.
Question 2
Easy
True or False: A tautology is always satisfiable.
💡 Hint: Think about the definition of a tautology.
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 describes a tautology?
- It is always false
- It is always true
- It depends on the context
💡 Hint: Reflect on the nature of tautological statements.
Question 2
True or False: The statement 'p ∨ ¬p' is a tautology.
- True
- False
💡 Hint: Think of both possible truth values for 'p'.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that conjunction and negation are functionally complete by expressing disjunction using only these operators.
💡 Hint: Refer to De Morgan's laws for guidance.
Question 2
Construct a truth table for the expression '¬(p ∧ q)' and demonstrate that it is equivalent to 'p ∨ q'.
💡 Hint: Break down the expression and assess each truth value.
Challenge and get performance evaluation