Floyd was first elected to the Oregon Legislature in 1994. He served in the House of Representatives between 1995 – 2000 and 2003. Floyd was appointed to represent Oregon Senate District 4 in 2003. He was elected in 2004 to complete the current term and reelected in 2006 and 2010.

Floyd graduated from Texas A&M University and later earned a law degree from the South Texas College of Law. An avid cyclist and home-brewer, he lives in Eugene with his wife. When the Legislature is not in session, Floyd works as a municipal prosecutor and serves on various boards and commissions.