Practice - Question 8
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Practice Questions
Test your understanding with targeted questions
What does it mean for a set of logical operators to be functionally complete?
💡 Hint: Think about what it means to represent all expressions.
Can you list the three main logical operators discussed in this section?
💡 Hint: Consider the basic building blocks of logical expressions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following sets of operators is functionally complete?
💡 Hint: Think about the definitions you've learned.
True or False: You can represent every logical proposition using only disjunction and negation.
💡 Hint: Recall the completeness established in your studies.
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Challenge Problems
Push your limits with advanced challenges
Show that the set {Negation, AND} is functionally complete by deriving an expression for 'p or q'.
💡 Hint: Use De Morgan's laws to guide your rewriting.
If only NAND operators are available, can you represent the operation 'p and q'? Show your steps.
💡 Hint: Think about how NAND relates to other operations.
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