When all inputs of a NAND gate are connected | vedclass

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(A) $NAND$ gate is defined by the Boolean expression $Y = \overline{A \cdot B}$.If all inputs are connected together,then $A = B = X$.Substituting thi

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$NOT$ gate

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(A) $NAND$ gate is defined by the Boolean expression $Y = \overline{A \cdot B}$.If all inputs are connected together,then $A = B = X$.Substituting this into the expression,we get $Y = \overline{X \cdot X}$.Since $X \cdot X = X$,the expression simplifies to $Y = \overline{X}$.This is the Boolean expression for a $NOT$ gate.Therefore,connecting all inputs of a $NAND$ gate results in a $NOT$ gate.

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

When all inputs of a $NAND$ gate are connected together,the resulting circuit is a .......

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