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Elastically scattered electrons polarised perpendicular to the scattering plane will exhibit a count rate asymmetry (A$_{n}$) amongst left and right, which can be used as a probe for multi photon exchange contributions to the scattering amplitude. While for most target nuclei A$_{n}$ is in good agreement with the theoretical predictions, previuos measurements on $^{208}$Pb obtained values incompatible with existing theories, making it the most interresting target nucleus. However, lead as target material poses several experimental challenges, ranging from its low melting point and limited scattering rate to high background radiation interfering with the experimental set-up. A unique set-up for the measurement of A$_{n}$ at the A1-Collaboration at the Mainz-Microtron was developed, which aims to minimize analog disturbances by digitizing the measured signals as close to their origin as possible.