Four logic gates are connected as shown in the figure. If the inputs are \( A = 0, B = 1, C = 1 \), then the values of \( y_1 \) and \( y_2 \) respectively are:
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To solve logic gate problems efficiently, break them into steps:
1. Identify the logic gates used.
2. Apply given inputs step by step.
3. Use the truth tables for AND, OR, and NOT gates.
Step 1: Identify the Logic Gates Used in the Circuit
The given circuit consists of logic gates arranged in a specific manner. Based on the image, we analyze the gates:
- The first gate is an AND gate.
- The second gate is an OR gate.
- The third and fourth gates are NOT gates.
Step 2: Compute \( y_1 \) Output
The first gate receives inputs \( A \) and \( B \):
\[
y_1 = \text{AND}(A, B)
\]
Substituting \( A = 0 \) and \( B = 1 \):
\[
y_1 = 0 \land 1 = 0
\]
Now, this output is passed through a NOT gate:
\[
y_1 = \text{NOT}(0) = 1
\]
Step 3: Compute \( y_2 \) Output
The second gate receives inputs \( B \) and \( C \):
\[
y_2 = \text{OR}(B, C)
\]
Substituting \( B = 1 \) and \( C = 1 \):
\[
y_2 = 1 \lor 1 = 1
\]
Now, this output is passed through a NOT gate:
\[
y_2 = \text{NOT}(1) = 0
\]
Step 4: Verify the Answer
Thus, the final outputs are:
\[
y_1 = 1, \quad y_2 = 0
\]
So, the correct answer is:
\[
\boxed{(1,0)}
\]
