The possibility of a light charged Higgs boson H± that decays predominantly to quarks (cs and/or cb) and with a mass in the range 80 GeV ≤mH±≤90 GeV is studied in the context of Three-Higgs-Doublet Models (3HDMs). At present the Large Hadron Collider (LHC) has little sensitivity to this scenario, and currently the best constraints are from LEP2 and Tevatron searches. In this talk, I will show our study on dominant branching ratio of H±→cb occurs in two of the five types of 3HDM. The decay H±→cb has recently been searched for at the LHC for the first time, and with increased integrated luminosity one would expect sensitivity to the region 80 GeV ≤mH±≤90GeV due to the smaller backgrounds with respect to H±→cs decays. Slides can be found here.