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Question detail

Simplify the Boolean expression A AND B OR A AND NOT B.

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MCQ

Type

practice

Style

Topic

Digital signal processing

Exam-style question

Try this first

Simplify the Boolean expression A AND B OR A AND NOT B.

  1. A.A
  2. B.B
  3. C.A AND B
  4. D.A OR B

Model answer

What a good answer should say

  • A

Explanation

Why this works

Boolean algebra rule: distributive law -> Y = A AND B OR A AND NOT B -> Y = A AND (B OR NOT B) -> Y = A AND 1 -> Y = A -> The simplified expression is A.

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