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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 set of logical operators to be functionally complete?
💡 Hint: Think about what it means to represent all logical scenarios.
Question 2
Easy
Convert the implication p → q using logical operators in the functionally complete set.
💡 Hint: Remember that implication can always be expressed in terms of ORs.
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 is functionally complete?
- {AND
- OR}
- {AND
- NOT}
- {OR
- NOT
- XOR}
💡 Hint: Think about how each set can express logical statements.
Question 2
True or False: The expression p ↔ q can be rewritten as (p → q) AND (q → p).
- True
- False
💡 Hint: Recall the definition of 'if and only if.'
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate through transformations that the set {¬, ∨} can express any logical statement involving conjunction.
💡 Hint: Consider how negation flips the truth conditions.
Question 2
Create a complex logical proposition and determine its satisfiability using truth assignment techniques.
💡 Hint: Systematically try combinations until all parts of the proposition are satisfied.
Challenge and get performance evaluation