What is Binary System?

Legal Definition
A binary system is a system of two astronomical bodies which are close enough that their gravitational attraction causes them to orbit each other around a barycenter (also see animated examples). More restrictive definitions require that this common center of mass is not located within the interior of either object, in order to exclude the typical planet–satellite systems and planetary systems.

The most common binary systems are binary stars and binary asteroid, but brown dwarfs, planets, neutron stars, black holes and galaxies can also form binaries.

A multiple system is like a binary system but consists of three or more objects such as for trinary stars and trinary asteroids
-- Wikipedia
Legal Definition
The number system computers use. 1s and 0s are the only two digits computed. It is the foundation of digital technology.