He is mostly known for his work with the groups Bang Gang, Lady & Bird (a side project with Keren Ann) and Starwalker, a collaboration with Jean-Benoît Dunckel.
Most significantly, he has written music for commercials and for the National Theatre of Iceland and Centre Dramatique d'Orleans (Museum of the Sea by Marie Darrieussecq).
His co-writing credits include artists such as : Keren Ann, Anthony Gonzales (M83), JB Dunckel (AIR, Tomorrow's World), Daniel Hunt (Ladytron), Helen Marnie (Ladytron), Phoebe Killdeer (Nouvelle Vague), Sia Furler, Anggun and many more.
Barði started playing music at a young age, he studied the piano and guitar and had a track included on a children's album.
Barði and his friend Henrik Baldvin Björnsson started Bang Gang, initially making surf rock music.