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AP EAMCET · PHYSICS · Semiconductors

For the combination of logic gates shown in the figure, the equivalent logic gate is

  1. A AND
  2. B NOT
  3. C NAND
  4. D NOR
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Answer & Solution

Correct Answer

(D) NOR

Step-by-step Solution

Detailed explanation

\(Y_1=A+B ; Y_2=A+B\), as gate 1 and 2 are OR gates. As gate 3 is NAND gate, its output will be \( \begin{aligned} Y & =\overline{Y_1 Y_2}=\bar{Y}_1+\bar{Y}_2=\overline{A+B \cdot A+B} \\ & =\overline{A+B}+\overline{A+B}=\overline{A+B} \end{aligned} \) Using De-Morgan's theorem…
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