You need more info and the whole truth table. There’s a few functions of f(x,y) that would yield true when both x and y inputs are true. In general though, exclusive or (XOR) is common-use English “or”. Inclusive or (OR) is what you mention, and then the inverse of OR is NOR which may be what you are talking about or the inverse of XOR or XNOR or NORX depending on the textbook.
This is all digital logic stuff, and I’m not sure if logic involves in philosophy would use the same naming.