Which one of the following options is not a property of Boolean Algebra? (+…
2026
Which one of the following options is not a property of Boolean Algebra?
(+ denotes OR, . denotes AND, ′ denotes NOT)
- A.
a+b=b+a
- B.
a.a′=1
- C.
a+a′=1
- D.
a.b=b.a
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Correct answer: B
Boolean Algebra follows specific laws. The Complement Law states that a variable ANDed with its negation equals 0 (a.a′ = 0), not 1. Options representing the Commutative Law and the OR Complement Law (a+a′ = 1) are valid properties. Since option 1 claims a.a′ = 1, it is incorrect and thus the answer.
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