Practice Final Question - 7.8 | 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 is a functionally complete set of logical operators?

💡 Hint: Think about the operators you commonly use.

Question 2

Easy

Convert the expression p → q to an expression using only negation and disjunction.

💡 Hint: Use the implication identity.

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

What is the definition of a functionally complete set of logical operators?

  • A set that can express some logic statements.
  • A set that can express every logical statement.
  • A set that is always true.

💡 Hint: Consider what 'every' means in this context.

Question 2

True or False: You need both AND and OR to create a functionally complete set.

  • True
  • False

💡 Hint: Think about alternative sets of operators.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a truth table to demonstrate the equivalence between p ∧ q and ¬(¬p ∨ ¬q).

💡 Hint: Make sure to cover all possible truth values for p and q.

Question 2

Show that a set of logical operators including only NOT and NOR can still express all logical propositions.

💡 Hint: Start by transforming implications first.

Challenge and get performance evaluation