Construct the truth table for the function y of A and B represented in Fig.

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In the, given circuit we have used OR gate and AND gate. Let $y^{'}$ be the output of the OR gate. Therefore $A + B = y^{'}$ . The AND gate receives A and $y^{'}$ as input. The output of this gate is y. Therefore, $y = A . y^{'} = A . (A + B)$ . The following table shows all the combinations of A and B related to y
$∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} A & B & y' = A + B & y = A . (A + B) 0 & 0 & 0 & 0 0 & 1 & 1 & 0 1 & 0 & 1 & 1 1 & 1 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣$
$∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} A & B & y 0 & 0 & 0 0 & 1 & 0 1 & 0 & 0 1 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣$
Thus the table is the truth of the given electronic circuit.

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Updated on:21/07/2023

Class 12 PHYSICS SEMICONDUCTOR ELECTRONIC : MATERIALS, DEVICES AND SIMPLE CIRCUITS

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