(A) The logic gate for which the output is high $(1)$ if and only if all inputs are high $(1)$ is the $AND$ gate.For an $AND$ gate with inputs $A$ and

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(A) The logic gate for which the output is high $(1)$ if and only if all inputs are high $(1)$ is the $AND$ gate.For an $AND$ gate with inputs $A$ and $B$,the output $Y$ is given by $Y = A \cdot B$.If $A = 1$ and $B = 1$,then $Y = 1 \cdot 1 = 1$.For any other combination of inputs,the output is low $(0)$.

Class 12 Physics Semiconductor Electronics Boolean Algebra and Logic Gates

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For which logic gate is the following statement true? The output is high if and only if all inputs are high.

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A
$AND$
B
$OR$
C
$NOR$
D
$NAND$

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For the given truth table,where $A, B$,and $C$ are inputs and $Y$ is the output,determine the functional form of the circuit.
$A$ $B$ $C$ $Y$
$0$ $0$ $0$ $1$
$0$ $0$ $1$ $1$
$0$ $1$ $0$ $0$
$0$ $1$ $1$ $0$
$1$ $0$ $0$ $1$
$1$ $0$ $1$ $1$
$1$ $1$ $0$ $0$
$1$ $1$ $1$ $0$

$A$	$B$	$C$	$Y$
$0$	$0$	$0$	$1$
$0$	$0$	$1$	$1$
$0$	$1$	$0$	$0$
$0$	$1$	$1$	$0$
$1$	$0$	$0$	$1$
$1$	$0$	$1$	$1$
$1$	$1$	$0$	$0$
$1$	$1$	$1$	$0$

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$A$	$B$	$C$	$Y$
$0$	$0$	$0$	$1$
$0$	$0$	$1$	$1$
$0$	$1$	$0$	$0$
$0$	$1$	$1$	$0$
$1$	$0$	$0$	$1$
$1$	$0$	$1$	$1$
$1$	$1$	$0$	$0$
$1$	$1$	$1$	$0$

$A$	$B$	$C$	$Y$
$0$	$0$	$0$	$1$
$0$	$0$	$1$	$1$
$0$	$1$	$0$	$0$
$0$	$1$	$1$	$0$
$1$	$0$	$0$	$1$
$1$	$0$	$1$	$1$
$1$	$1$	$0$	$0$
$1$	$1$	$1$	$0$

For which logic gate is the following statement true? The output is high if and only if all inputs are high.

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For the given truth table,where $A, B$,and $C$ are inputs and $Y$ is the output,determine the functional form of the circuit.
$A$ $B$ $C$ $Y$
$0$ $0$ $0$ $1$
$0$ $0$ $1$ $1$
$0$ $1$ $0$ $0$
$0$ $1$ $1$ $0$
$1$ $0$ $0$ $1$
$1$ $0$ $1$ $1$
$1$ $1$ $0$ $0$
$1$ $1$ $1$ $0$

$A$	$B$	$C$	$Y$
$0$	$0$	$0$	$1$
$0$	$0$	$1$	$1$
$0$	$1$	$0$	$0$
$0$	$1$	$1$	$0$
$1$	$0$	$0$	$1$
$1$	$0$	$1$	$1$
$1$	$1$	$0$	$0$
$1$	$1$	$1$	$0$