1. A method of communicating running-state information, in a multiprocessing system which is composed of a plurality of processors, said running-state information indicating an operating state of respective processors, said method comprising the steps of: converting running states of the respective processors to address information; transmitting said address information from at least one of said processors; converting said address information to a corresponding running-state code by a receiving-side processor; and subsequently, collating said running-state information code and a running-state discrimination code with each other to recognize the running states of the respective processors.