Binary is the simplest way to represent information. Binary has two states, high and low. It's pretty easy to distinguish between two states. If you tried something more complex, like a trinary (low, middle, and high) you would have two boundaries to worry about, which could be hard to distinguish between. For example, a binary system could define 1 to be (near) 5V and 0 to be (near) 0V. You don't have to distinguish between 2.45 V and 2.55 V, just close to zero or close to 5. Or it could be magentized Left-to-Right or Up-to-down. You don't have to worry about is it 40 degrees or 50 degrees off.
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