NIMCET 2017 — Computer PYQ
NIMCET | Computer | 2017Which one of the following boolean algebraic rule is correct?
Choose the correct answer:
- A.
A .A’=1
- B.
A+AB=A+B
- C.
A+A’B = A+B
(Correct Answer) - D.
A(A+B)+B
A+A’B = A+B
Explanation
The Correct Answer is A+A’B = A+B
- A+A’B = A+B
- First, take Left Hand Side(LHS),
- A + A'B = A.1 + A'B
= A.(1+B)+A'B
= A.1+A.B+A'B
= A + B.(A+A')
= A + B.1
= A + B
- Hence, Left Hand Side(LHS) is equal to Right Hand Side(RHS).
- To help minimise the number of logic gates required to perform a specific logic operation, a set of rules orLaws of Boolean Algebra expressions were invented to result in a collection of functions or theoremswidely known as the
Laws of Boolean Algebra.
Explanation
The Correct Answer is A+A’B = A+B
- A+A’B = A+B
- First, take Left Hand Side(LHS),
- A + A'B = A.1 + A'B
= A.(1+B)+A'B
= A.1+A.B+A'B
= A + B.(A+A')
= A + B.1
= A + B
- Hence, Left Hand Side(LHS) is equal to Right Hand Side(RHS).
- To help minimise the number of logic gates required to perform a specific logic operation, a set of rules orLaws of Boolean Algebra expressions were invented to result in a collection of functions or theoremswidely known as the
Laws of Boolean Algebra.