MHT CET · Physics · Semiconductors
The logic gate represented by following logic circuit is
- A OR gate.
- B AND gate.
- C NOR gate.
- D X-OR gate.
Answer & Solution
Correct Answer
(D) X-OR gate.
Step-by-step Solution
Detailed explanation
\(\therefore Y =\overline{\mathrm{A} \cdot \mathrm{~B}} \cdot(\mathrm{~A}+\mathrm{B}) \)
\( \therefore \mathrm{Y} =(\overline{\mathrm{A}}+\overline{\mathrm{B}}) \cdot(\mathrm{A}+\mathrm{B}) \ldots\) \((\because \overline{\mathrm{A} \cdot \mathrm{~B}}=\overline{\mathrm{A}}+\overline{\mathrm{B}}) \)
\( \therefore \mathrm{Y} =\overline{\mathrm{A}} \cdot \mathrm{~B}+\overline{\mathrm{B}} \cdot \mathrm{~A} \)
\( \therefore \mathrm{Y} =\mathrm{A} \cdot \overline{\mathrm{~B}}+\mathrm{B} \cdot \overline{\mathrm{~A}}\)
This represents XOR gate.
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