Definition of binary operation in US English:

binary operation

noun

• A mathematical operation, such as addition or multiplication, performed on two elements of a set to derive a third element.

• ‘Conventional computing is based on the combination of binary operations, expressed formally in logical combinations of 0s and 1s, and realizable in hardware terms by switches that are either on or off.’
• ‘Group theory studies not a single structure, but a type of structure, the pattern common to collections of objects with a binary operation, an identity element thereon, and inverses for each element.’
• ‘Binary addition is the simplest of the binary operations, so let's start there.’
• ‘All of them fell into the same manner of thinking: ‘Well it's three switches with a binary operation… ‘and all of them got it wrong, as well.’’
• ‘Addition is a binary operation, because ‘5 + ‘doesn't mean anything by itself.’
• ‘We want this to be a field, that is, that for all numbers a, b, c in * R with two binary operations, + and x (addition and multiplication) the following field axioms should hold: a + b and a x b are both in * R’
• ‘Examples of binary operations in action are shown here.’
• ‘Carolyn Boles states the important correlation in a way that shows the undoing of a binary operation and presentation of an alternative, which she calls a ‘third view’.’