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Question detail

Write a Boolean expression for a circuit that outputs 1 when exactly one of the two inputs A and B is high.

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Topic

Digital signal processing

Exam-style question

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Write a Boolean expression for a circuit that outputs 1 when exactly one of the two inputs A and B is high.

Model answer

What a good answer should say

  • Y = A B' + A' B.
  • This expression uses the XOR operation, which is true when one input is true and the other is false.

Explanation

Why this works

The answer demonstrates understanding of Boolean algebra and the XOR operation. It shows the correct use of complement and product terms, testing the ability to translate a logical condition into a Boolean expression.

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