A magnetically inductive flowmeter includes an electrode arrangement for capturing a voltage dependent on a medium flow speed and induced, over a measurement section, in a galvanically contacting manner, wherein signal processing is performed in a control and evaluation device to suppress noise, during which a first voltage signal between a first electrode and a reference potential and a second voltage signal between a second electrode and the reference potential are each captured and filtered to obtain a noise signal contained therein, where the first and second voltage signals are summed with the first and second noise signals, respectively, so as to form two sum signals in which their difference corresponds to the voltage induced over the measurement section, such that noise components caused, for example, by gas bubbles in the medium or electrochemical effects can be largely eliminated from the measurement signal.