Final answer:
In positive logic systems, a logic 1 represents a true state or a positive voltage level, while a logic 0 represents a false state or a negative voltage level. In negative logic systems, the opposite is true. An OR gate in a positive logic system is equivalent to an AND gate in a negative logic system.
Step-by-step explanation:
In positive logic systems, a logic 1 represents a true state or a positive voltage level, while a logic 0 represents a false state or a negative voltage level. In negative logic systems, the opposite is true, where a logic 1 represents a false state or a negative voltage level, and a logic 0 represents a true state or a positive voltage level.
To prove that an OR gate in a positive logic system is an AND gate in a negative logic system, we can examine their truth tables. In a positive logic system, an OR gate outputs a logic 1 if any of its inputs are logic 1. In a negative logic system, this would mean that the AND gate outputs a logic 0 if any of its inputs are logic 0, which is equivalent to the OR of the inverted inputs in a positive logic system.