Question

Which logic gate is represented by the following combination of logic gates ?

• A. AND
• B. OR
• C. NOR
• D. NAND

Answer 1

The Correct Option is A

This is a case of an AND gate. The input and output relationships are shown below: 

Therefore, the output \( y \) is:

\( y = A + B = A \cdot B \)

Since \( A + B = A \cdot B \), the output can be written as:

\( y = AB \)

Thus, the output of the AND gate is \( AB \).

Answer 2

A	B	Y1	Y2	Y
0	0	1	1	0
0	1	1	0	0
1	0	0	1	0
1	1	0	0	1

 According to the truth table:

• Y1 represents the intermediate values for the logic gates.
• Y2 represents another intermediate result.
• Y is the final output.

The expression: \( Y = A \cdot B \), suggests that the output \( Y \) is only true (1) when both \( A \) and \( B \) are true (1). This is characteristic of an AND gate.

Conclusion: The given combination of logic gates and truth table corresponds to the behavior of an AND gate, where the output is 1 only when both inputs are 1, and 0 otherwise.