The binary system is not used because someone advocated it.
It's used because each digital computer is composed of an enormous number of on-off switches. The obvious way of representing 'on-off' in numbers is as one or zero, which is the binary number system.
If you ask why couldn't computers be composed of 10-way switches well that's a matter of electronics. It would be much more difficult to build those than the two-way switches.
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A.N.D. Leibniz defined the binary number system.
A binary system is a special type of a number system. The binary system uses only two digits, other number systems use more.
There are two digits in the binary number system. 0 and 1
There is no decimal number for the binary number 13 because 13 cannot be a binary number.
The binary system is the name given to the base-2 number system.