A local area network (LAN) supports both baseband digital LAN signals and video, including television signals originating outside the network and local video generated within the network. The network may include personal computers, television receivers, video cassette recorders, printers, and video cameras. Connection circuitry permits each device to receive both the video and the digital LAN signals through a single coaxial cable connection. The connection circuitry includes a LAN transceiver for each device in the network to enable each device to transmit, receive, and decode digital LAN signals. A computer interface enables any personal computer in the network to receive and display television signals received by the network and video generated by another computer or other device. A television interface enables any television in the network to receive and display local video output by a personal computer or other device in the network and enables the television to be used as a remote monitor for the computer.