Question

In the given figures of logic gates, if the inputs are A=1, B=0, and C=1, find the values of \( y_1 \), \( y_2 \), and \( y_3 \) respectively. 

 

• A. 0, 0, 1
• B. 0, 1, 0
• C. 1, 0, 1
• D. 1, 1, 0

Hint:

When solving circuit problems, systematically analyze the output of each gate step-by-step based on the inputs and the type of gate.

Answer 1

The Correct Option is A

The circuit consists of various logic gates. To find the outputs \( y_1 \), \( y_2 \), and \( y_3 \), we analyze the circuit: 
- \( y_1 \) is the output of a NOR gate with inputs A and B: \[ y_1 = \overline{A + B} = \overline{1 + 0} = \overline{1} = 0 \] - \( y_2 \) is the output of an AND gate with inputs \( y_1 \) and C: \[ y_2 = y_1 \cdot C = 0 \cdot 1 = 0 \] - \( y_3 \) is the output of an OR gate with inputs \( y_2 \) and C: \[ y_3 = y_2 + C = 0 + 1 = 1 \] The values of \( y_1 \), \( y_2 \), and \( y_3 \) are 0, 0, and 1 respectively.