Practice Question 8 - 7.2 | 7. Tutorial 1: Part II | Discrete Mathematics - Vol 1
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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 expressions.

Question 2

Easy

Can you list the three main logical operators discussed in this section?

💡 Hint: Consider the basic building blocks of logical expressions.

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?

  • {AND
  • OR
  • NOT}
  • {AND
  • OR}
  • {NOT}

💡 Hint: Think about the definitions you've learned.

Question 2

True or False: You can represent every logical proposition using only disjunction and negation.

💡 Hint: Recall the completeness established in your studies.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation