Computer hardware having a sleep mode and responsive to a sequence of packets for powering up from the sleep mode; integrated circuits; integrated circuit chipsets and modules for use in low power systems responsive to wireless local area network (WLAN) packets for use in WLAN communications; integrated circuit chipsets and modules for use in low power systems with a power-down sleep mode for wireless local area networks; computer hardware, integrated circuits, computer chipsets, and integrated circuit chipsets for communication and which have a power-down sleep mode, wireless communication and connectivity; firmware for using and controlling wireless broadband communication technology and to enable wireless communication after termination of a low-power sleep mode; computer software for communication, wireless communication and connectivity and for controlling and using integrated circuits; computer software embedded or contained in computer hardware for communication, wireless communication and connectivity and for controlling and using integrated circuits; and manuals sold as a unit with the foregoing and downloadable from a global computer network