data processor vs computing machine

data processor and computing machine both are nouns.

Word	Noun	Adjective	Verb	Adverb
data processor	Yes	No	No	No
computing machine	Yes	No	No	No

As nouns, data processor and computing machine are synonyms defined as:

data processor and computing machine: a machine for performing calculations automatically

Other synonyms of data processor include computer, computing device, electronic computer, information processing system.

data processor (noun)	computing machine (noun)
a machine for performing calculations automatically	a machine for performing calculations automatically