For the given combination of logic gates,whic | vedclass

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(D) The given circuit consists of an $OR$ gate followed by an $AND$ gate. Let the output of the $OR$ gate be $X$. The inputs to the $OR$ gate are $B$

Vedclass · Accepted Answer

$1, 0, 1$

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(D) The given circuit consists of an $OR$ gate followed by an $AND$ gate. Let the output of the $OR$ gate be $X$. The inputs to the $OR$ gate are $B$ and $C$,so $X = B + C$. The inputs to the $AND$ gate are $A$ and $X$. Therefore,the final output is $Y = A \cdot X = A \cdot (B + C)$. For the output $Y = 1$,both $A$ must be $1$ and $(B + C)$ must be $1$. Checking the options: $A) 0, 0, 0 \implies Y = 0 \cdot (0 + 0) = 0$ $B) 0, 1, 0 \implies Y = 0 \cdot (1 + 0) = 0$ $C) 1, 0, 0 \implies Y = 1 \cdot (0 + 0) = 0$ $D) 1, 0, 1 \implies Y = 1 \cdot (0 + 1) = 1 \cdot 1 = 1$ Thus,the set of inputs $A=1, B=0, C=1$ gives the output $Y=1$.

For the given combination of logic gates,which of the following sets of inputs $A, B,$ and $C$ respectively results in an output $Y = 1$?

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