boolean operation vs binary arithmetic operation

boolean operation and binary arithmetic operation both are nouns.

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

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

boolean 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 boolean operation include binary operation.

boolean 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