Microlensing can provide a useful tool to probe binary distributions down to low-mass limits of binary companions . In this paper , we analyze the light curves of 8 binary lensing events detected through the channel of high-magnification events during the seasons from 2007 to 2010 . The perturbations , which are confined near the peak of the light curves , can be easily distinguished from the central perturbations caused by planets . However , the degeneracy between close and wide binary solutions can not be resolved with a 3 \sigma confidence level for 3 events , implying that the degeneracy would be an important obstacle in studying binary distributions . The dependence of the degeneracy on the lensing parameters is consistent with a theoretic prediction that the degeneracy becomes severe as the binary separation and the mass ratio deviate from the values of resonant caustics . The measured mass ratio of the event OGLE-2008-BLG-510/MOA-2008-BLG-369 is q \sim 0.1 , making the companion of the lens a strong brown-dwarf candidate .