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You are given the two circuits as shown ...

You are given the two circuits as shown in Fig. and . Show that circuit acts as OR gate while the circuit acts as AND gate.

Text Solution

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In Fig. , the first gate is a NOR gate and second gate is NOT gate.
The Boolean expression of this combination of gates is
`y'=bar(A+B)=barA.barB`
`y=bar(y^('))=bar(baAr.barB)=bar(barA)+bar(barB) =A+B`
i.e., `y=A+B`. It is a Boolean Expression of OR gate. Thus, circuit acts as OR gate.
In Fig. the output of two NOT gates is made input to a NOr gate.
The Boolean expression of teh combination of gates is `y = bar(barA+ barB) =barbarA.barbarB =A.B`
i.e., `y = A.B.` It is a Boolean Expression of AND gate. Thus, circuit acts as AND gate.
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