The mass of a bit of information and the Brillouin's principle

Based on the Brillouin (negentropic) principle, we answer to the question: Does information have mass ? The obtained answer is affirmative and the mass associated to a bit of information (which is always a positive definite quantity) is explicitely calculated. Since the Brillouin’s principle is modified in the presence of a gravitational field, so does the mass associated to a bit of information. Some consequences ensuing these facts, as well as the link between radiation and information, are discussed.