We prepared a novel binaphthyl derivative possessing laterally attached mesogenic units, (R)-2, 2'-bis{6-[2-(4-octyloxyphenyloxycarbonyloxy)-5-octyloxyphenyloxycarbonyl]hexyloxy}-1,1'-binaphthyl [(R)-1], and that possessing terminally attached mesogenic units, (R)-2, 2'-bis{6-[4-(4-octyloxyphenyloxycarbonyl)phenyloxycarbonyl]hexyloxy}-1, 1'-binaphthyl [(R)-2]. We investigated their induced helical senses and pitches in the chiral nematic (N*) and chiral smectic C (SmC*) phases in the mixture with a host liquid crystal. (R)-1 induced a left-handed (LH) helix in the N* phase, whereas (R)-2 induced a right-handed (RH) helix. We discuss chirality transfer from each binaphthyl derivative to a host liquid crystal.