binary operation vs binary arithmetic operation

binary operation and binary arithmetic operation both are nouns.

Word	Noun	Adjective	Verb	Adverb
binary operation	Yes	No	No	No
binary arithmetic operation	Yes	No	No	No

As nouns, binary operation and binary arithmetic operation are synonyms defined as:

binary operation and binary arithmetic operation: an operation that follows the rules of Boolean algebra; each operand and the result take one of two values

Other synonyms of binary operation include boolean operation.

binary operation (noun)	binary arithmetic operation (noun)
an operation that follows the rules of Boolean algebra; each operand and the result take one of two values	an operation that follows the rules of Boolean algebra; each operand and the result take one of two values