Abstract: A method and associated arrangement for use in priority allocation in a bus interconnected digital multi-module system are disclosed. The modules are configured for requesting the use of the bus with each module being granted its request based upon its priority. During the operation of the system, a set of priorities is established such that the number of priorities is equal to the number of modules in the system. Each module is assigned to an initial priority. During the operation of the system, modules may be reassigned to a priorities which are different than their initial priorities. In addition, the priorities may be grouped in an initial group arrangement which may be reconfigured. The group arrangement may be reconfigured in any desired manner. Also, provisions are made for refusing a grant to a module even though that module possesses the highest priority among requesting modules.