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Binary language is a term used to describe a basic form of computer code used by many cultures throughout the Milky Way Galaxy. Binary language consists of ones and zeros, typically in groups of eight or sixteen characters.
The Bynars of Bynaus in the Beta Magellan system had a culture completely based on binary code. Their minds were supplemented by high-speed computation modules, dependent to a central computer. Despite the dependence, the interconnectedness of their society allowed a tremendous amount of communications and information transfer.
Federation computers used an even more advanced system, using the measurements quads, kiloquads and gigaquads to measure data. The systems were based in binary, yet also accommodating the use of trinary code. (VOY: "Hope and Fear")