A device for converting a first movement into a second movement responsive to the first movement under a demagnification scale includes: a) an input portion being drivable in a rectilinear translation in a first direction by an actuator causing the first movement; b) an output portion being movable by a converting blade causing the second movement responsive to the first movement in a second direction substantially perpendicular to the first direction; and c) a converting section connecting the input portion to the output portion. The converting section includes an intermediate spring portion and the converting blade. The intermediate spring portion has at least two parallel flexure blades; and the converting blade is substantially identical in shape to the a least two parallel flexure blades and is offset from its neutral position by a predetermined amount in the first direction as compared to the neutral position of the at least two parallel flexure blades. The device has a flexure-based structure that allows combining the advantages of classical actuators with accuracies in the micrometer range and the advantages of flexures to achieve nanometer accuracy.