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Which of these correctly states De Morgan’s second theorem ?

  • A.(A + B)’ = A’ · B’
  • B.(A · B)’ = A’ + B’
  • C.(A · B)’ = A’ · B’
  • D.(A + B)’ = A’ + B’

Answer: B

Correct answer: (A · B)’ = A’ + B’

De Morgan’s second theorem states that the complement of a product equals the sum of the complements: (A · B)’ = A’ + B’. In gate terms, a NAND is the same as an OR gate fed by inverted inputs.

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