The document discusses six main types of operating systems: single-user systems, which support either a single task or multi-tasking for one user; multi-user systems that allow multiple users to access a system simultaneously; multi-tasking systems that can run multiple programs concurrently by rapidly switching between them; multi-processing systems that use more than one CPU to enable several programs to run in parallel; embedded systems designed for devices like PDAs, cameras and cars with limited resources; and real-time systems intended for applications that require fast and predictable responses to inputs like industrial machinery.