Absolute counters for linear segments or revolutions having a Wiegand element (WE) in the main field between two opposite excitation magnets (EM1, EM2) connected by a common ferromagnetic back connection body (14), and an additional sensor element (SE) for determining the information about the polarity and the position of the excitation magnet, wherein the output signals of the Wiegand element (WE) simultaneously supplies energy for the required counter and logic electronics, as well as having an additional sensor (ZS) for the fine resolution in the frame work of a multi-turn which also lies within the main field between the excitation magnets (EM1, EM2).