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(A) 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

$101$

Vedclass · Answer

(A) 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. Thus,$Y = X \cdot C = (A + B) \cdot C$.For the output $Y = 1$,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:$A) 101: A=1, B=0, C=1 \implies Y = (1+0) \cdot 1 = 1 \cdot 1 = 1$.$B) 100: A=1, B=0, C=0 \implies Y = (1+0) \cdot 0 = 1 \cdot 0 = 0$.$C) 110: A=1, B=1, C=0 \implies Y = (1+1) \cdot 0 = 1 \cdot 0 = 0$.$D) 010: A=0, B=1, C=0 \implies Y = (0+1) \cdot 0 = 1 \cdot 0 = 0$.Thus,the correct input is $101$.

For the given logic circuit,what should be the value of input $ABC$ to get an output $Y = 1$?

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