Consider the following logic circuit. The output is Y=0 when : - Vidyadip

MCQ

Consider the following logic circuit.

The output is $\mathrm{Y}=0$ when :

A
$\mathrm{A}=1$ and $\mathrm{B}=1$
B
$\mathrm{A}=0$ and $\mathrm{B}=1$
C
$\mathrm{A}=1$ and $\mathrm{B}=0$
D
$\mathrm{A}=0$ and $\mathrm{B}=0$

✓

Answer

A. $\mathrm{A}=1$ and $\mathrm{B}=1$

$\mathrm{Y}_{1}=\mathrm{A} \cdot \mathrm{B}, \mathrm{Y}_{2}=\overline{\mathrm{A}}+\mathrm{B}$
$\mathrm{Y}=\overline{\mathrm{Y}_{1} \cdot \mathrm{Y}_{2}}=\overline{\mathrm{Y}}_{1}+\overline{\mathrm{Y}}_{2}$
$\mathrm{Y}=\overline{\mathrm{A} \cdot \mathrm{B}}+\overline{\overline{\mathrm{A}}+\mathrm{B}}$
$\mathrm{Y}=\overline{\mathrm{A}}+\overline{\mathrm{B}}+\mathrm{A} \cdot \overline{\mathrm{B}}$

A	B	Y
0	0	1
1	0	1
0	1	1
1	1	0

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