Registers are sequential devices that can store multiple bits of data, unlike individual flip-flops which can only store one bit. There are several types of registers including basic registers made up of multiple flip-flops, shift registers that shift data in on each clock cycle, and bidirectional shift registers that can shift data either left or right depending on a control signal. Bidirectional shift registers also allow parallel loading of all bits at once. Registers provide benefits over flip-flops and main memory by allowing faster temporary storage of more data used in processing.