Practice Theorem 4 (complementation Law) (6.3.4) - Boolean Algebra and Simplification Techniques - Part A
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Theorem 4 (Complementation Law)

Practice - Theorem 4 (Complementation Law)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the result of X·X' when X = 1?

💡 Hint: Remember the Complementation Law.

Question 2 Easy

If X = 0, what is the value of X + X'?

💡 Hint: Consider the definition of a complement.

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

According to the Complementation Law, X·X' equals:

0
1
X
X'

💡 Hint: Think about the logical value of the variable and its opposite.

Question 2

X + X' equals:

0
1
X
None of the above

💡 Hint: What do you get when you add a value and its complement?

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the expression A + A' + B·C, simplify this using the Complementation Law.

💡 Hint: What does the Complementation Law tell you about A and A'?

Challenge 2 Hard

Show that (X + Y)(X' + Z) simplifies using the Complementation Law.

💡 Hint: Remember to apply the law to isolate parts of the expression.

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Reference links

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