Systems and methods for determining minimal spectrum occupancy in routing and wavelength/spectrum assignment (RWA/RSA) in an optical network include performing, for a new demand request, a set of binary operations using a binary representation for each wavelength or portion of spectrum over all links in the optical network; and selecting, based on the set of binary operations, i) a route and ii) one of a) a wavelength and b) one or more portions of spectrum for the new demand request.