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

Step-by-step solution

From the given logic circuit, the output Y is given by the Boolean expression: Y = A + G(A, B) From the given truth table, we can observe that the output Y is identical to the input A for all combinations of A and B . Thus, Y = A . Equating the two expressions for Y , we get: A + G(A, B) = A Let us check the given options for gate G: If G is an AND gate, G(A, B) = A B . Then, Y = A + A B = A(1 + B) = A 1 = A . This perfectly matches the required condition. Checking other options: If G is an OR gate, Y = A + (A + B)