The bulb will glow if it experiences a potential drop across it. This requires one end of the bulb to be at a high state (1) and the other end to be at a low state (0).
In Option (2), setting \( A = 1, B = 0, C = 0, D = 0 \) satisfies this condition, as it results in the output of the OR gate being high, creating the required potential drop across the bulb.
Consider the following logic circuit.
The output is Y = 0 when :
The logic gate equivalent to the combination of logic gates shown in the figure is
The output (Y) of the given logic implementation is similar to the output of an/a …………. gate.
Let $ f: \mathbb{R} \to \mathbb{R} $ be a twice differentiable function such that $$ f''(x)\sin\left(\frac{x}{2}\right) + f'(2x - 2y) = (\cos x)\sin(y + 2x) + f(2x - 2y) $$ for all $ x, y \in \mathbb{R} $. If $ f(0) = 1 $, then the value of $ 24f^{(4)}\left(\frac{5\pi}{3}\right) $ is: