Practice Theorem 4 (Complementation Law) - 6.3.4 | 6. Boolean Algebra and Simplification Techniques - Part A | Digital Electronics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Remember the Complementation Law.

Question 2

Easy

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

πŸ’‘ Hint: Consider the definition of a complement.

Practice 3 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

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

  • 0
  • 1
  • X
  • X'

πŸ’‘ Hint: Think about the logical value of the variable and its opposite.

Question 2

X + X' equals:

  • 0
  • 1
  • X
  • None of the above

πŸ’‘ Hint: What do you get when you add a value and its complement?

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: What does the Complementation Law tell you about A and A'?

Question 2

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

πŸ’‘ Hint: Remember to apply the law to isolate parts of the expression.

Challenge and get performance evaluation