Question

In the given figure of logic gates, if the inputs are \( A = 1 \) and \( B = 0 \) then the values of \( y_1, y_2, \) and \( y_3 \) respectively are: 

 

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

Hint:

Always verify the logic gate types and their configurations when analyzing circuit diagrams.

Answer 1

The Correct Option is A

The given circuit consists of three logic gates:

• NOT gate: The output of the NOT gate is the negation of the input.
• AND gate: The output is 1 only when both inputs are 1, otherwise 0.
• OR gate: The output is 1 if at least one input is 1.

Step 1: Analyzing the NOT gate

The first gate is a NOT gate. It takes input \( A = 1 \), so the output of the NOT gate, \( y_1 \), will be:

\[ y_1 = \overline{A} = \overline{1} = 0 \] Step 2: Analyzing the AND gate

The second gate is an AND gate, which takes inputs \( A = 1 \) and \( B = 0 \). The output of the AND gate, \( y_2 \), will be:

\[ y_2 = A \cdot B = 1 \cdot 0 = 0 \] Step 3: Analyzing the OR gate

The third gate is an OR gate, which takes inputs \( y_1 = 0 \) and \( y_2 = 0 \). The output of the OR gate, \( y_3 \), will be:

\[ y_3 = y_1 + y_2 = 0 + 0 = 0 \]

Thus, the values of \( y_1, y_2, \) and \( y_3 \) are:

\[ y_1 = 0, \quad y_2 = 0, \quad y_3 = 0 \]

Thus, the correct answer is Option (1), \( y_1 = 0, y_2 = 0, y_3 = 0 \).