Question

In the given digital circuit, if the inputs are \( A = 1, B = 1 \) and \( C = 1 \), then the values of \( y_1 \) and \( y_2 \) are respectively 

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

Hint:

For logic circuits, analyze each gate separately and follow the signal flow.

Answer 1

The Correct Option is A

Analyzing the circuit: 1. The AND gate at \( y_1 \): \[ y_1 = B \cdot C \] Substituting \( B = 1 \) and \( C = 1 \): \[ y_1 = 1 \cdot 1 = 1 \] 2. The NOT gate inverts \( A \): \[ A' = \overline{A} = \overline{1} = 0 \] 3. The OR gate at \( y_2 \) has inputs \( A' \) and \( y_1 \): \[ y_2 = A' + y_1 \] Substituting values: \[ y_2 = 0 + 1 = 1 \] Thus, the final values are: \[ y_1 = 0, \quad y_2 = 1 \] Thus, the correct answer is \( 0, 1 \).