Practice Theorem 15 (6.3.14) - Boolean Algebra and Simplification Techniques - Part A
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Theorem 15

Practice - Theorem 15

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens when you apply Theorem 15 to A · (A + B)?

💡 Hint: Think of the redundancy in using A.

Question 2 Easy

Using Theorem 15, how would X + (X · Y) simplify?

💡 Hint: What makes the X component always true?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Theorem 15(a) state about variable X in multiplication?

Replace X with 0
Replace X with 1
No change

💡 Hint: Consider how AND works with the same variable.

Question 2

If X + (X + Y) simplifies to what according to Theorem 15(b)?

X
X + Y
1

💡 Hint: Think about the properties of OR operation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using Theorem 15, simplify A · B + A · (A + C) + D.

💡 Hint: Look for how `A` operates within the expression.

Challenge 2 Hard

Apply Theorem 15 to simplify B + (B · A) + (C · X) + (B + Y).

💡 Hint: Focus on the addition of repeating terms.

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Reference links

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