The output (Y) of the given logic implementation is similar to the...

The output

(\mathrm{Y})

of the given logic implementation is similar to the output of an/a _____ gate. The output (Y) of the given logic implementation is similar to the output of an/a _____ gate.

The output (Y) of the given logic implementation is similar to the output of an/a _____ gate.

Options

AAND
BNAND
COR
DNOR

Correct answer

D. NOR

Step-by-step solution

\mathrm{Y}=(\overline{\mathrm{A}+\mathrm{B}}) \cdot(\overline{\mathrm{A} \cdot \mathrm{B}})

\begin{aligned} & \Rightarrow \overline{\mathrm{A}} \cdot \overline{\mathrm{B}} \cdot(\overline{\mathrm{A}}+\overline{\mathrm{B}}) \\ & \Rightarrow \overline{\mathrm{A}} \cdot \overline{\mathrm{B}} \cdot \overline{\mathrm{A}}+\overline{\mathrm{A}} \cdot \overline{\mathrm{B}} \cdot \overline{\mathrm{B}} \\ & \Rightarrow \overline{\mathrm{A}} \cdot \overline{\mathrm{B}}+\overline{\mathrm{A}} \cdot \overline{\mathrm{B}} \\ & \Rightarrow \overline{\mathrm{A}} \cdot \overline{\mathrm{B}}=(\overline{\mathrm{A}+\mathrm{B}})\end{aligned}

$$ Behaves as NOR gate

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