computing system vs automatic data processing system

computing system and automatic data processing system both are nouns.

Word	Noun	Adjective	Verb	Adverb
computing system	Yes	No	No	No
automatic data processing system	Yes	No	No	No

As nouns, computing system and automatic data processing system are synonyms defined as:

computing system and automatic data processing system: a system of one or more computers and associated software with common storage

Other synonyms of computing system include ADP system, ADPS, computer system.

computing system (noun)	automatic data processing system (noun)
a system of one or more computers and associated software with common storage	a system of one or more computers and associated software with common storage