The behavior of the circuit is like which gat | vedclass

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(A) Let the inputs be $A$ and $B$. The circuit consists of an $AND$ gate and an $OR$ gate whose outputs are fed into a final $OR$ gate.Let the output

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$OR$

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(A) Let the inputs be $A$ and $B$. The circuit consists of an $AND$ gate and an $OR$ gate whose outputs are fed into a final $OR$ gate.Let the output of the $AND$ gate be $Y_1 = A \cdot B$.Let the output of the first $OR$ gate be $Y_2 = A + B$.The final output $X$ is the $OR$ operation of $Y_1$ and $Y_2$:$X = Y_1 + Y_2 = (A \cdot B) + (A + B)$.Using the Boolean identity $(A \cdot B) + A + B = A + B$, we get $X = A + B$.Truth Table:$A, B$$Y_1 = A \cdot B$$Y_2 = A + B$$X = Y_1 + Y_2$$0, 0$$0$$0$$0$$0, 1$$0$$1$$1$$1, 0$$0$$1$$1$$1, 1$$1$$1$$1$Since the output $X$ follows the truth table of an $OR$ gate, the circuit behaves like an $OR$ gate.

The behavior of the circuit is like which gate?

Similar Questions

The $XOR$ gate gives an output of $1$ only when the two inputs are . . . . .

The truth table given below is for which gate?
$A: 0, 0, 1, 1$
$B: 0, 1, 0, 1$
$C: 1, 1, 1, 0$

Identify the logic gate represented by the given circuit.

The output of an $OR$ gate is $1$:

For the following circuit and given inputs $A$ and $B$, choose the correct option for output $Y$.

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