This article argues that SDN and NFV, together with cloud and edge-fog computing, can be seen as different facets of a systemic transformation of telecommunications and ICT, called softwarization. The first impact will be at the edge of current telecommunications infrastructures, which are becoming powerful network and service platforms. The edge operating system (EOS) software architecture is proposed as the means to get there. In fact, the main feature of EOS is to bring several service domains, such as cloud robotics, Internet of Things, and Tactile Internet, into convergence at the edge. The development of EOS leverages available open source software. A use case is described to validate the EOS with a proof-of-concept