According to examples, an apparatus may include a processor that may access an assignment of a component connected to a downstream USB port, from among a plurality of downstream USB ports that are downstream of a display device, to a first physical host device from among a plurality of physical host devices connected to the display device via respective upstream USB ports. The apparatus may bind, based on the assignment, the downstream USB port to a first upstream USB port that connects the first physical host device to the display device. The binding may cause the component to be coupled to the first physical host device. The apparatus facilitates assignment of individual components connected to downstream USB ports to one of a plurality of upstream USB ports.