Match the LIST-I with LIST-II

LIST - I

Boolean Algebra Law

LIST - II

Axioms

A.

Absorption Law

I.

a + 1 = 1

B.

Bounded Law

II.

a + 0 = a

C.

Identity Law

III.

a * (b + c) = (a * b) + (a * c)

D.

Distributive Law

IV.

a + (a * b) = a


Choose the correct answer from the options given below:

  1. A - IV, B - I, C - II, D - III 
  2. A - IV, B - III, C - I, D - II 
  3. A - III, B - IV, C - II, D - I 
  4. A - II, B - III, C - IV, D - I

Answer (Detailed Solution Below)

Option 1 : A - IV, B - I, C - II, D - III 

Detailed Solution

Download Solution PDF

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.
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