Three logic gates are connected as shown in the figure. If the inputs are , , and , then the values of , , and are respectively:
An particle is scattered from an Au target at rest as shown in the figure. and are the detectors to detect the scattered particle at an angle and along the beam direction, respectively, as shown. The signals from and are converted to logic signals and fed to logic gates. When a particle is detected, the signal is 1 and is 0 otherwise. Which one of the following circuits detects the particle scattered at the angle only?
A logic gate circuit is shown in the figure below. The correct combination for the input for which the output is:
For the circuit shown above, the equivalent gate is:
If then
For , the largest positive integer that divides is . If is the sum of all positive divisors of , then find .