What will be the input of A and B for the Boolean expression $\overline{(\mathrm{A}+\mathrm{B})…

What will be the input of A and B for the Boolean expression $\overline{(\mathrm{A}+\mathrm{B}) \cdot(\mathrm{A} \cdot \mathrm{B})}=1$
  1. 1,0
  2. 0,0
  3. 0,1
  4. 1,1

Solution

$\overline{(A+B) \cdot(A \cdot B)}=1$ Answer can be formed by trial and error. $\begin{aligned} & (0,0) \Rightarrow \mathrm{A}=0, \mathrm{~B}=0 \\ & \overline{(0+0) \cdot(0 \cdot 0)}=(\overline{0}) \cdot(\overline{0})=1 \cdot 1=1\end{aligned}$

Asked in: MHT CET 2022 (07 Aug Shift 2)

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