Two different ways of establishing hardware priority are Daisy Chaining and parallel priority.

Daisy chaining is a form of a hardware implementation of the polling procedure.
Parallel priority is quicker of the two and uses a priority encoder to establish priorities.
In parallel priority interrupt a register is used for which the bits are separated by the interrupt signals from every device.
The parallel priority interrupt may also contain a mask register which is primarily used to control the status of every request regarding interrupts.   _{Your Comment}