To get output Y=1 for the following circuit,t | vedclass

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Question

(C) The given 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 $Y$

Vedclass · Accepted Answer

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

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(C) The given 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 the output of the $AND$ gate,which takes $X$ and $C$ as inputs.Therefore,$Y = X \cdot C = (A + B) \cdot C$.For the output $Y$ to be $1$,both inputs to the $AND$ gate must be $1$.This means $X = 1$ and $C = 1$.Since $X = A + B$,for $X$ to be $1$,at least one of $A$ or $B$ must be $1$.Checking the options:Option $A$: $A=1, B=0, C=0 \implies Y = (1+0) \cdot 0 = 0$.Option $B$: $A=1, B=1, C=0 \implies Y = (1+1) \cdot 0 = 0$.Option $C$: $A=1, B=0, C=1 \implies Y = (1+0) \cdot 1 = 1 \cdot 1 = 1$.Option $D$: $A=0, B=1, C=0 \implies Y = (0+1) \cdot 0 = 0$.Thus,the correct option is $C$.

To get output $Y=1$ for the following circuit,the inputs should be:

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