Solution

The correct answer is Option 1.

Key Points

• The correct matching of Boolean Algebra Laws with their corresponding Axioms is as follows:
  • Absorption Law: a + (a * b) = a
  • Bounded Law: a + 1 = 1
  • Identity Law: a + 0 = a
  • Distributive Law: a * (b + c) = (a * b) + (a * c)
• Based on this, the correct matching is:
  • A - IV (Absorption Law - a + (a * b) = a)
  • B - I (Bounded Law - a + 1 = 1)
  • C - II (Identity Law - a + 0 = a)
  • D - III (Distributive Law - a * (b + c) = (a * b) + (a * c))

Additional Information

• Understanding Boolean Algebra is essential in digital electronics and computer science for designing and analyzing digital circuits.
• Boolean Algebra allows for the simplification of logic expressions, making it easier to implement and optimize digital systems.
• These fundamental laws and axioms provide the foundation for more complex theorems and applications in Boolean logic and digital design.