Boolean Algebra
Simplify A + A B (Boolean). Result is:
Select the correct option:
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About This Question
- Subject
- physics
- Chapter
- semiconductor electronics
- Topic
- boolean algebra
- Difficulty
- Hard
- Year
- 2025
Solution
Correct Answer:
A
Using the laws of Boolean Algebra:
- Factor out the common term A: A+AB=A⋅(1+B)
- According to the Annulment Law (or Identity Law for OR), (1+extanything)=1: 1+B=1
- Therefore: A⋅(1)=A This is known as the Absorption Law. Intuitively, if A is true, the whole expression is true regardless of B. If A is false, both terms are false, so the whole expression is false. Thus the result is simply A.
This hard difficulty physics question is from the chapter semiconductor electronics, covering the topic of boolean algebra. It appeared in the 2025 exam.
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