The following logic gate combination is equivalent to

The following logic gate combination is equivalent to

1. NAND gate
2. OR gate
3. XOR gate
4. NOT gate

Solution

$\begin{aligned} & \therefore \quad Y=\overline{A \cdot B} \cdot(A+B) \\ & \therefore \quad Y=(\bar{A}+\bar{B}) \cdot(A+B) \quad \cdots(\because \bar{A} \cdot \bar{B}=\bar{A}+\bar{B}) \\ & \therefore \quad Y=\bar{A} \cdot B+\bar{B} \cdot A \\ & \therefore \quad Y=A \cdot \bar{B}+B \cdot \bar{c} \end{aligned}$ This représents XOR gate, ~

Asked in: MHT CET 2023 (12 May Shift 1)

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