Question
Download Solution PDFMatch 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:
Answer (Detailed Solution Below)
Option 1 : A - IV, B - I, C - II, D - III
Detailed Solution
Download Solution PDFThe 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.