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Mathematically prove why it is the most economical device for computers to use binary data.
1. The algorithm is simple: imagine how many multiplication formulas there are in decimal, and how about division?

This kind of device is easy to manufacture: it is much more difficult to manufacture a device with ten states than a switch.

3. Strong anti-interference: one potential of the binary device is 1 and the other is 0. It is difficult to change 1 to 0 when there is interference, and it is hard to say for devices with ten states.

4. The operation speed is fast, because 1 directly corresponds to the opening of a circuit, and 0 corresponds to the closing, so it can be executed without a translation computer.

It is easy to convert into octal and hexadecimal, which is also a common notation in computers.