Practice Theorem 13 (demorgan’s Theorem) (6.3.12) - Boolean Algebra and Simplification Techniques - Part A
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Theorem 13 (DeMorgan’s Theorem)

Practice - Theorem 13 (DeMorgan’s Theorem)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the complement of the expression A + B + C?

💡 Hint: Use the first part of DeMorgan's Theorem.

Question 2 Easy

What is the complement of the expression A * B?

💡 Hint: Apply the second part of DeMorgan's Theorem.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does DeMorgan's Theorem state about the complement of a sum?

It equals the sum of the complements.
It equals the product of the complements.
It has no specific relationship.

💡 Hint: Remember the relationship between sum and product.

Question 2

If A + B = 0, what can be deduced?

True
False

💡 Hint: Think about the output states.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the expression A + B + C + D, find its complement using DeMorgan’s Theorem and express the result.

💡 Hint: Break down the expression part by part.

Challenge 2 Hard

For a digital circuit output that requires an implementation of A * B' + C, reframe this using DeMorgan’s Theorem.

💡 Hint: Review connecting parts to create the output with the theorem's aids.

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Reference links

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