The invention relates to a method for producing butadiene from n-butane, comprising the following steps: A) providing a gas feedstream (a) containing n-butane; B) feeding the gas feedstream (a) containing n-butane to at least one first dehydrogenation zone and carrying out a non-oxidative, catalytic dehydrogenation of n-butane, thereby obtaining a gas stream (b) comprising n-butane, 1-butene, 2-butene, butadiene, hydrogen, optionally water vapor, optionally carbon monoxides and optionally inert gases; C) feeding the gas stream (b) and an oxygen-containing gas to at least one second dehydrogenation zone and carrying out an oxidative dehydrogenation of 1-butene and 2-butene, thereby obtaining a gas stream (c) comprising n-butane, butadiene, hydrogen, water vapor, optionally carbon monoxides and optionally inert gases; D) compressing, in at least one first compression step, and cooling the gas stream (c), thereby obtaining at least one condensate stream (d1) comprising water and a gas stream (d2) comprising n-butane, butadiene, hydrogen, water vapor, optionally carbon monoxides and optionally inert gases; E) separating the gas stream (d2) by extractive distillation into a product stream (e1) substantially consisting of butadiene and a stream (e2) comprising n-butane, hydrogen, water vapor, optionally carbon monoxides and optionally inert gases; F) optionally compressing, in one or more compression steps, and cooling the gas stream (e2), thereby obtaining at least one condensate stream (f1) comprising n-butane and water and a gas stream (f2) comprising n-butane, hydrogen, optionally carbon monoxides and optionally inert gases, and optionally redirecting the condensate stream (f1) to the first dehydrogenation zone; G) separating the gas stream (f2) into a recirculation stream (g1) comprising n-butane and a discharge stream (g2) comprising hydrogen, optionally carbon monoxides and optionally inert gases by contacting the gas stream (f2) with a high-boiling absorbent and finally desorbing the gaseous components dissolved in the absorbent.