Logic Functions and Equations : Binary Models for Computer Science

Logic functions and equations are (some of) the most important concepts of Computer Science with many applications such as Binary Arithmetics, Coding, Complexity, Logic Design, Programming, Computer Architecture and Artificial Intelligence. They are very often studied in a minimum way prior to or together with their respective applications. Based on our long-time teaching experience, a comprehensive presentation of these concepts is given, especially emphasising a thorough understanding as well as numerical and computer-based solution methods. Any applications and examples from all the respective areas are given that can be dealt with in a unified way. They offer a broad understanding of the recent developments in Computer Science and are directly applicable in professional life. Logic Functions and Equations is highly recommended for a one- or two-semester course in many Computer Science or computer Science-oriented programmes. It allows students an easy high-level access to these methods and enables sophisticated applications in many different areas. It elegantly bridges the gap between Mathematics and the required theoretical foundations of Computer Science. Front Matter....Pages i-xxix Front Matter....Pages 1-1 Basic Algebraic Structures....Pages 3-35 Logic Functions and Equations....Pages 37-89 Logic Equations....Pages 91-100 Boolean Differential Calculus....Pages 101-142 The Solution of Logic Equations....Pages 143-206 Front Matter....Pages 207-207 Logics and Arithmetics....Pages 209-264 Combinational Circuits....Pages 265-336 Finite-State Machines....Pages 337-373 Front Matter....Pages 375-375 Xboole....Pages 377-384 Back Matter....Pages 385-392