Practice Lecture - 07 - 7.1.1 | 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

List the three functionally complete logical operators.

💡 Hint: Think about basic operations in logic.

Question 2

Easy

What is the negation of p ∧ q?

💡 Hint: Apply De Morgan's law.

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

💡 Hint: Think of basic operations in logic.

Question 2

True or False: p → q is equivalent to ¬p ∨ q.

  • True
  • False

💡 Hint: Recall definition of implication.

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Challenge Problems

Push your limits with challenges.

Question 1

Demonstrate the validity of the argument where A, A → B, and B → C lead to C using resolution.

💡 Hint: Apply the resolution method stepwise, canceling variables.

Question 2

You are given ¬(p ∨ q). Show its implications using resolution.

💡 Hint: De Morgan’s laws will be helpful for transformations.

Challenge and get performance evaluation