Bynaus was an inhabited planet in the Beta Magellan system and the homeworld of the humanoid Bynars. This species was interconnected with the master computer on their planet which created a dependency on the computer for their life functions.
In 2364, the planetary computer on Bynaus was shut down to protect it from the electromagnetic pulse generated by a star in the Beta Magellan system when it went supernova. With their binary way of thinking, the Bynars feared that the United Federation of Planets would have refused to help and so took action on their own. A team of Bynars commandeered the USS Enterprise-D from Starbase 74, where it was undergoing routine system upgrades. The Enterprise computer was the only mobile computer in range with sufficient memory to back up the data stored in the Bynaus computer. The starship arrived at Bynaus just in time to restart the computer before the Bynars perished. (TNG: "11001001")
According to the Star Trek: The Next Generation First Year Sourcebook, "Binar" is the third planet in the Beta Nirobi system.