How to distinguish between an AND gate and an OR gate using two switches and a sensor?

Connect the battery, switches $S_1$ and $S_2$, and the sensor to one of the black boxes (e.g., Box A) using the provided terminals.

Systematically change the states of switches $S_1$ and $S_2$ (ON or OFF) and record whether the sensor turns ON or OFF.

• Case 1: Both switches OFF ($S_1$ OFF, $S_2$ OFF)

  • Observe the sensor. For both AND and OR gates, the sensor should be OFF.

• Case 2: One switch ON, the other OFF ($S_1$ ON, $S_2$ OFF OR $S_1$ OFF, $S_2$ ON)

  • If the sensor turns ON when only one switch is ON, the box contains an OR gate.
  • If the sensor remains OFF when only one switch is ON, proceed to the next case.

• Case 3: Both switches ON ($S_1$ ON, $S_2$ ON)

  • If the sensor turns ON only when both switches are ON (and was OFF in Case 2), then the box contains an AND gate.
  • If the sensor was already ON in Case 2, this confirms it is an OR gate.

Repeat this procedure for Box B to identify its logic gate.