It keeps them in with a chance of lifting the trophy for the first time in their history.
Nottingham Forest have also progressed to the Cup semi-finals after beating Brighton 4-3 on penalties.
The match finished goalless after extra-time on the south coast.
In the Championship QPR lost 3-1 at Stoke.
AFC Wimbledon are down to fifth in League Two after a 1-all draw at table toppers Walsall.
In the National League Sutton lost 2-1 at Boston United.
Hampton and Richmond Borough suffered a fifth straight loss in the National League South, going down 2-nil at Worthing.
In Southern League Premier South action Chertsey beat Bracknell 3-1 at Alwyns Lane.
Walton and Hersham drew 1-all with Basingstoke at the Elmbridge Xcel Sports Hub.
In the Isthmian League Carshalton hammered Bowers and Pitsea 6-1 at the War Memorial Sports Ground.