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MHT CET · Physics · Semiconductors

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. A 1,0
  2. B 0,0
  3. C 0,1
  4. D 1,1
Verified Solution

Answer & Solution

Correct Answer

(B) 0,0

Step-by-step Solution

Detailed explanation

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