Question

The output of the given logic gate is 1 when inputs A, B and C are such that :-

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

Answer 1

Answer: (A), (B), (D)

Options (1), (2), and (4) are correct.

Answer 2

The given logic gate is an OR gate. An OR gate produces an output of 1 if at least one of its inputs is 1. It produces an output of 0 only if all of its inputs are 0. For inputs A, B, and C, the output Y of an OR gate is given by the Boolean expression:

$Y = A + B + C$

We need to find the input combinations for which the output Y is 1.

1. A = 1, B = 0, C = 1 $Y = 1 + 0 + 1 = 1$ Since at least one input is 1, the output is 1. This option is correct.

2. A = 1, B = 1, C = 0 $Y = 1 + 1 + 0 = 1$ Since at least one input is 1, the output is 1. This option is correct.

3. A = B = C = 0 $Y = 0 + 0 + 0 = 0$ Since all inputs are 0, the output is 0. This option is incorrect.

4. A = B = C = 1 $Y = 1 + 1 + 1 = 1$ Since at least one input is 1, the output is 1. This option is correct.

Therefore, options (1), (2), and (4) all result in an output of 1 for the given OR gate.