Four logic gates are connected as shown in the figure. If the inputs are $\mathrm{A}=0, \mathrm{~B}=1$ and…

Four logic gates are connected as shown in the figure. If the inputs are $\mathrm{A}=0, \mathrm{~B}=1$ and $\mathrm{C}=1$, then the values of $y_1$ and $y_2$ respectively are

  1. 1,0
  2. 1,1
  3. 0,1
  4. 0,0

Solution

$\begin{aligned} & \text { } \mathrm{A}=0, \mathrm{~B}=\mathrm{C}=1 \\ & \therefore \mathrm{y}_1=\overline{(\mathrm{A} \cdot \mathrm{B}) \cdot \mathrm{B}}=\overline{\mathrm{A} \cdot \mathrm{B}}+\overline{\mathrm{B}} \\ & =\overline{0.1}+\overline{\mathrm{l}}=1+0=1 \\ & \mathrm{y}_2=\overline{(\mathrm{B}+\mathrm{C})+\mathrm{B}}=\overline{(\mathrm{B}+\mathrm{C})} \cdot \overline{\mathrm{B}} \\ & \overline{(\overline{(1+1})} \cdot \overline{1}=0 \cdot 0=0\end{aligned}$

Asked in: AP EAMCET 2024 (22 May Shift 1)

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