In Boolean Algebra, the expression a⋅b+a⋅b′ is equivalent to:
2022
In Boolean Algebra, the expression a⋅b+a⋅b′ is equivalent to:
- A.
a
- B.
b
- C.
a · b
- D.
a + b
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Correct answer: A
Solution:
Simplify the expression step by step using Boolean algebra laws.
Factor a using the distributive law: a⋅b + a⋅b′ = a(b + b′).
Use the complement law: b + b′ = 1.
Therefore a(b + b′) = a⋅1 = a.
Conclusion: The expression a⋅b + a⋅b′ is equivalent to a.