Question

A three-way bulb works with a switch that has settings for off, low, medium, and high. What mod system would be a model for this?

Answer 1

Answer:

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Answer 2

A three-way bulb with a switch that has settings for off, low, medium, and high can be modeled using a ternary (base-3) number system, which is a type of numeral system that uses three symbols (0, 1, and 2) to represent numbers.

In this case, we can assign each of the four settings on the switch a value in the ternary system. Let's say we assign 0 to "off", 1 to "low", 2 to "medium", and 3 to "high" (even though 3 is not a valid ternary digit, we can use it as a shorthand for the highest setting).

With this assignment, the switch can be represented by a three-digit ternary number, where each digit represents the setting for one of the three filaments in the three-way bulb. For example, if the switch is set to "low" for the first filament, "medium" for the second filament, and "off" for the third filament, the switch setting can be represented by the ternary number 102 (read from right to left).

The advantage of using a ternary system in this case is that it allows us to represent the four different switch settings using only three digits, instead of the four digits required by a standard binary (base-2) number system.

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