The rapid advancement in Information and Communication Technology (ICT) has had a profound impact on the banking industry and the wider financial sector over the last two decades and it has now become a tool that facilitates banks’ organizational structures, business strategies, customer services and other related functions that help to determine performance. This research work describes the forms of technology that are applicable in banks. It further states how these technological advancements can be used to enhance performance in a bank. The research uses a case study methodology to report the extent to which the customers of Oceanic bank really accept these changes. The variables under E-business which constitutes the independent variables are the uses of Computer, Telephone, Facsimile, Internet and Wireless Communication devices in a bank. Questionnaires were used in collecting primary data in addition to secondary data which will be drawn from sources such as journals, newspapers, textbooks, and the internet. Data collected was summarized using the Statistical Package for Social Sciences (SPSS) version 15.0, this involves using computer in analyzing the collected data.