The document discusses different methods of implementing priority interrupts in computer systems, including software polling, hardware priority interrupts, and daisy chain hardware priority interrupts. Software polling establishes priority by the order devices are polled but is flexible and low cost, though slow. Hardware priority interrupts use a priority interrupt manager to identify the highest priority interrupt request quickly in hardware. Daisy chain hardware priority interrupts work by having devices connected in a serial chain, with the closest interrupting device to the CPU getting access to interrupt the CPU when multiple interrupts occur simultaneously.