Practice Final Question (7.8) - Tutorial 1: Part II - Discrete Mathematics - Vol 1
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Final Question

Practice - Final Question

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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

💡 Hint: Start by transforming implications first.

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