JEE Physics · Medium

Semiconductors: De Morgan's First Theorem MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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De Morgan's First TheoremMediumQuestion 20250

Question

De Morgan's first theorem states:
  1. A
    (A+B)̄ = Ā + B̄
  2. B
    (A+B)̄ = Ā · B̄
    Correct
  3. C
    (AB)̄ = Ā + B̄
  4. D
    (AB)̄ = Ā · B̄

Correct answer

(A+B)̄ = Ā · B̄

Explanation

First: complement of OR = AND of complements: NOT(A OR B) = (NOT A) AND (NOT B). A NOR gate equals NAND with inverted inputs. Both De Morgan theorems help simplify and transform logic expressions.