Question

To get the truth table shown from the following logic circuit, the gate G should be

• A. NAND gate.
• B. NOR gate.
• C. AND gate.
• D. OR gate.

Hint:

The output is \(Y=A+G(A,B)\) and the table shows \(Y=A\).

Answer 1

The Correct Option is C

Step 1: Use Boolean algebra
Let $G=AB$ (an AND). Then $Y=A+AB=A(1+B)=A$.

Step 2: Compare with the table
$Y=A$ reproduces all four rows: 00 gives 0, 01 gives 0, 10 gives 1, 11 gives 1. So G is an AND gate, option (C).

Final Answer:
An AND gate fits the table, option (C). \[ \boxed{\text{AND}} \]