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:

• A. \( 0, 0, 1 \)
• B. \( 0, 1, 1 \)
• C. \( 1, 0, 1 \)
• D. \( 1, 1, 0 \)

Hint:

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

Answer 1

The Correct Option is B

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 \( y_3 = 1 \).