He was a starting forward for the Speedboys' Public League and City champions in 1978, a team that extended a state-record winning streak to 68 before a regular season loss to Overbrook.

He repeated this feat the next year, and also in 1982 he won the World Championships in Munich, West Germany, where in the final he defeated Francesco Damiani from Italy on points, who beat the legendary Cuban veteran Teofilo Stevenson earlier in the competition.

In 1983, Biggs won a bronze medal at the Pan American Games, losing to future professional challenger Jorge Luis Gonzalez in the semi-final.

He turned professional soon after his Olympic victory, scoring a 6-round unanimous decision over Mike Evans on November 15, 1984 at Madison Square Garden in New York City in his first bout.

Besides Mike Tyson, Lewis and Damiani he went on to face such other boxing luminaries as James "Quick" Tillis, Ossie Ocasio, Riddick Bowe, Tony Tubbs, Buster Mathis, Jr., and Larry Donald before ending his career with a second-round knockout of Carlton Davis in 1998.