Practice Number of Distinct Logical Operators - 1.4.3.2 | 1. Introduction to Mathematical Logic | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a proposition?

💡 Hint: Think of statements that can be verified to be true or false.

Question 2

Easy

Identify the logical operator: 'p AND q'.

💡 Hint: What does AND mean in logic?

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

How many distinct logical operators can be formed with two propositions?

  • 8
  • 10
  • 16

💡 Hint: Focus on the combinations of true and false.

Question 2

An implication operator 'p → q' is false when:

  • p is true and q is false
  • p is false
  • Both p and q are false

💡 Hint: Think about if-then statements.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove using truth tables that the statement 'p AND (q OR r)' is equivalent to '(p AND q) OR (p AND r)'.

💡 Hint: Start with evaluating the inner expressions first for easier organization.

Question 2

Given a truth table with rows for p and q defined, how would you formulate a new logical operator that outputs TRUE when both are FALSE?

💡 Hint: Consider how negation would affect the truth table setup.

Challenge and get performance evaluation