Baden was one of the original states of the Federal Republic of Germany . In 1952 , it joined with WÃ 1\/4 rttemberg-Baden and WÃ 1\/4 rttemberg-Hohenzollern to make the state of Baden-W Ã 1\/4 rttemberg . The northern half of the old Baden was combined with northern WÃ 1\/4 rttemberg as part of the American military zone and formed the state of WÃ 1\/4 rttemberg-Baden .