Digital computers use binary numbers because that is easier for them, and the easiest way for humans to represent what goes on inside of computers. Computers contain millions of transistors inside the various ICs in the computer. Transistors can generally be on or off. Sure, it is possible for transistors to have a range, but then, in this case, it wouldn't be digital. So since the transistors are used as on-off switches, it is easiest to represent them as binary digits, since they can either be on or off.
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