The short answer is “yes”. All power drills have 3 jaw chucks that clamp down on whatever drill bit you place in them. Round shank bit and hex head bits are all treated the same. Where you may run into trouble with the universality of bits is in things like the cordless screwdriver and the impact driver. Neither is a standard cordless drill. Impact drivers for instance have hexagon-shaped chucks that can only hold hexagon-shaped bits.\r