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A bridge magnetoresistive circuit is realized in our group, where GMR structures are located in two arms, and two other arms are resistors, the nominal value of which is not changed by the action of the magnetic field. A differential signal proportional to the magnetic field of the label is fed to the analog-to-digital converter, and then to a separate input of a computer or microprocessor or other device for processing digital signals. A reasonable precision of the location of the moving labeled rail can be achieved stacking at least two sensor units in a row. The increase in the number of serial sensors used leads to an increase in the accuracy of the converted movements and to the expansion of the operating range of the converted displacements. In a GMR-sensor device elaborated in our group we obtain the location precision as high as 4 microns.