A minor Goa'uld in the service of Sokar, Bynarr commanded the hellish prison moon of Ne'tu and held power over its denizens. His First Prime was Na'onak -- actually the former System Lord Apophis, killed and brought back to life by Sokar.
Bynarr once shared an intimate relationship with the Tok'ra Jolinar of Malkshur, who had been banished to Ne'tu after being caught spying on Sokar. Taking pity on her torture by Sokar, Bynarr allowed himself to be seduced by the Tok'ra in his chambers. While he slept, she stole the key to access the ring transporter, allowing her to escape Ne'tu to Sokar's nearby homeworld of Delmak, where she found passage out of the system.
As punishment, Sokar gouged out one of Bynarr's eyes. Until his death, he felt betrayed by Jolinar, and wished nothing more than vengeance. Bynarr was killed with a staff blast to the back by Apophis when he moved to seize control of Ne'tu and escape.
Jolinar's Memories - SG-1 encounters Bynarr when they infiltrate Netu. When he tries to kill Carter to gain some revenge for Jolinar's betrayal, Apophis kills him.