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Question detail

Which Boolean expression represents the output Y that is 1 when exactly two of the inputs A, B and C are 1?

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MCQ

Type

practice

Style

Topic

Digital signal processing

Exam-style question

Try this first

Which Boolean expression represents the output Y that is 1 when exactly two of the inputs A, B and C are 1?.

  1. A.A B C
  2. B.A B + A C + B C
  3. C.A B C + A' B' C' + ...
  4. D.A + B + C

Model answer

What a good answer should say

  • A B + A C + B C

Explanation

Why this works

Boolean algebra rule: sum of products for exactly two true -> Y = A B + A C + B C -> The Boolean expression for exactly two true inputs is AB + AC + BC.

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