binary arithmetic operation vs boolean operation

binary arithmetic operation and boolean operation both are nouns.

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

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

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

Other synonyms of binary arithmetic operation include binary operation.

binary arithmetic operation (noun)	boolean 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