The present disclosure includes a system, method, and article of manufacture for lossless compression of data and high speed manipulation thereof. The method may comprise associating one or more of a plurality of unique entities with one or more of a plurality of unique binary numbers; associating a collection with the plurality of unique entities; and determining that the collection includes one of the plurality of unique entities based upon the unique binary number associated with the unique entity. The associating the collection with the plurality of unique entities may further comprise summing the unique binary numbers associated with the plurality of unique entities, and/or associating the collection with a binary number that is a logical result of a bitwise operation between unique binary numbers associated with the plurality of unique entities.