"cleft, forked, split halfway down into two equal parts," 1660s, from Latin bifidus "split into two parts," from bi- "two" (see bi-) + -fid, from stem of findere "to split" (from PIE root *bheid- "to split"). Related: Bifidity.
word-forming element meaning "two, having two, twice, double, doubly, twofold, once every two," etc., from Latin bi- "twice, double," from Old Latin dvi- (cognate with Sanskrit dvi-, Greek di-, dis-, Old English twi-, German zwei- "twice, double"), from PIE root *dwo- "two."
Nativized from 16c. Occasionally bin- before vowels; this form originated in French, not Latin, and might be partly based on or influenced by Latin bini "twofold" (see binary). In chemical terms, it denotes two parts or equivalents of the substance referred to. Cognate with twi- and di- (1).
It is the hypothetical source of/evidence for its existence is provided by: Sanskrit bhinadmi "I cleave," Latin Latin findere "to split, cleave, separate, divide," Old High German bizzan "to bite," Old English bita "a piece bitten off, morsel," Old Norse beita "to hunt with dogs," beita "pasture, food."
<a href="https://www.etymonline.com/word/bifid">Etymology of bifid by etymonline</a>
Harper, D. (n.d.). Etymology of bifid. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/bifid