McFadden was second with 45 first-place votes and 878 points. Quinn had 13 first-place votes and 782 points.
Smith became the first Ohio State player to win the Heisman since Eddie George in 1995. The other Buckeye winners were Archie Griffin (1974 & 1975), Howard Cassady (1955), Vic Janowicz (1950) and Les Horvath (1944).
Smith finished the regular season with 2,507 passing yards, 30 touchdown passes and just five interceptions. He will lead the top-ranked Buckeyes against second-ranked Florida for the national title Jan. 8 in Glendale, Ariz.
McFadden, a sophomore, finished the regular season with a school-record 1,558 yards rushing. He scored 16 touchdowns and led Arkansas to the Southeastern Conference title game.
Arkansas plays Wisconsin Jan. 1 in the Capital One Bowl in Orlando, Fla.
Quinn, fourth in Heisman voting last year, passed for 3,278 yards with 35 touchdowns for a 10-2 Notre Dame team that will play LSU in the Sugar Bowl in New Orleans.