Prashnikaप्रश्निका
Code
About
‹ Back to the paper
Computer Science20231 markMCQBoolean AlgebraTool: Boolean algebra solver

Choose the correct option.

The dual of (P + P') · (Q + 0) = Q is:

The dual of $(P + P') \cdot (Q + 0) = Q$ is:
  • (a)$P \cdot P' + Q \cdot 1 = Q$
  • (b)$P \cdot P' + Q \cdot 0 = Q$
  • (c)$P \cdot P + Q \cdot 1 = Q'$
  • (d)$P + P' + Q + 1 = Q$

Answer

Answer

Correct option: (a)

Answer: (a) $P \cdot P' + Q \cdot 1 = Q$ The dual of an expression is formed by interchanging every $+$ with $\cdot$ and every $0$ with $1$ (variables are left unchanged): $(P+P')\cdot(Q+0)=Q$ becomes $(P\cdot P')+(Q\cdot 1)=Q$.