To get an output Y = 1 from the logic circuit | vedclass

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Question

(B) The given logic circuit consists of an $OR$ gate followed by an $AND$ gate. Let the output of the $OR$ gate be $X$. Then $X = A + B$.The final out

Vedclass · Accepted Answer

$A=1, B=0, C=1$

Vedclass · Answer

(B) The given logic circuit consists of an $OR$ gate followed by an $AND$ gate. Let the output of the $OR$ gate be $X$. Then $X = A + B$.The final output $Y$ is obtained from the $AND$ gate,where $Y = X \cdot C = (A + B) \cdot C$.For the output $Y$ to be $1$,both inputs to the $AND$ gate must be $1$. Therefore,$X = 1$ and $C = 1$.Since $X = A + B = 1$,at least one of $A$ or $B$ must be $1$.Checking the options:$A) A=1, B=0, C=0 \implies Y = (1+0) \cdot 0 = 0$$B) A=1, B=0, C=1 \implies Y = (1+0) \cdot 1 = 1$$C) A=1, B=1, C=0 \implies Y = (1+1) \cdot 0 = 0$$D) A=0, B=0, C=1 \implies Y = (0+0) \cdot 1 = 0$Thus,option $B$ is correct.

To get an output $Y = 1$ from the logic circuit shown in the figure,the inputs can be:

Similar Questions

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Inputs Inputs Outputs
$A$ $B$ $Y$
$0$ $0$ $0$
$0$ $1$ $0$
$1$ $0$ $1$
$1$ $1$ $1$

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Inputs	Inputs	Outputs
$A$	$B$	$Y$
$0$	$0$	$0$
$0$	$1$	$0$
$1$	$0$	$1$
$1$	$1$	$1$