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 $y_3 = 1$.