Question:

Three logic gates are connected as shown in the figure. If the inputs are $ A = 0 $, $ B = 1 $, and $ C = 1 $, then the values of $ y_1 $, $ y_2 $, and $ y_3 $ are respectively:

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In digital circuits, always identify the gate types and their inputs to determine the correct outputs.

TS EAMCET - 2024
TS EAMCET

Updated On: Mar 11, 2025

$ 0, 0, 1 $
$ 0, 1, 1 $
$ 1, 0, 1 $
$ 1, 1, 0 $

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The Correct Option is B

Solution and Explanation

Step 1: Let's analyze each logic gate:
- $ y_1 $ is the output of an AND gate with inputs $ A = 0 $ and $ B = 1 $, so $ y_1 = A \cdot B = 0 $.
- $ y_2 $ is the output of a NOT gate with input $ B = 1 $, so $ y_2 = \neg B = 0 $.
- $ y_3 $ is the output of an OR gate with inputs $ y_1 = 0 $, $ y_2 = 0 $, and $ C = 1 $, so $ y_3 = y_1 + y_2 + C = 0 + 0 + 1 = 1 $. Thus, $ y_1 = 0 $, $ y_2 = 1 $, and $ y_3 = 1 $.

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