Since the mid-1990s the Web has constituted an increasingly important source for studies of the recent history of society and culture, and a number of national and international Web archiving institutions have been established. This article discusses the different characteristics of Web materials and archived Web materials. It is argued that both of these characteristics differ from the concepts of digital materials developed within the frameworks of digital humanities and that the growing variety of different kinds of digital materials and processes calls for a reinterpretation of the computer, stressing the variability of the functional architecture of digital media. Since the mid-1990s the Web has constituted an increasingly important source for studies of the recent history of society and culture, and a number of national and international Web archiving institutions have been established. This article discusses the different characteristics of Web materials and archived Web materials. It is argued that both of these characteristics differ from the concepts of digital materials developed within the frameworks of digital humanities and that the growing variety of different kinds of digital materials and processes calls for a reinterpretation of the computer, stressing the variability of the functional architecture of digital media.