What is the Boolean expression for the output of a two-input NOR gate with inputs and ?

Answer and explanation

Correct answer: D.

  1. Step 1: An OR gate produces the logical sum: .
  2. Step 2: A NOR gate is an OR gate followed by an inverting NOT gate.
  3. Step 3: The resulting inverted Boolean output is (which also equals by De Morgan's theorem).
Answer
.
Why not the others: is the Boolean expression for a NAND gate; is the OR gate; is the AND gate.

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