De Morgans Theorems

  1. State and prove De Morgan's theorems with the help of truth tables.
  2. Apply De Morgan's theorems to simplify Boolean expressions.

  • \(\overline{A * B}\) = \(\overline{A}\) + \(\overline{B}\)

  • \(\overline{A + B}\) = \(\overline{A}\) * \(\overline{B}\)

Solved Example:

9896-01

A̅ + B̅ = Q represents: (URSC (ISRO) Tech Asst (Electronics) March 2019)

Correct Answer: B

Solved Example:

9896-02

According to De Morgan's theorem: NAND = ________. (UPRVUNL AE Electronics and Instrumentation 2021)

Correct Answer: D