Computer Arithmetic : Algorithms and Hardware Implementations

The subject of this book is the analysis and design of digital devices that implement computer arithmetic. The book's presentation of high-level detail, descriptions, formalisms and design principles means that it can support many research activities in this field, with an emphasis on bridging the gap between algorithm optimization and hardware implementation. The author provides a unified view linking the domains of digital design and arithmetic algorithms, based on original formalisms and hardware description languages. A feature of the book is the large number of examples and the implementation details provided. While the author does not avoid high-level details, providing for example gate-level designs for all matrix/combinational arithmetic structures. The book is suitable for researchers and students engaged with hardware design in computer science and engineering. A feature of the book is the large number of examples and the implementation details provided. While the author does not avoid high-level details, providing for example gate-level designs for all matrix/combinational arithmetic structures. The book is suitable for researchers and students engaged with hardware design in computer science and engineering. -- The subject of this book is the analysis and design of digital devices that implement computer arithmetic. The book's presentation of high-level detail, descriptions, formalisms and design principles means that it can support many research activities in this field, with an emphasis on bridging the gap between algorithm optimization and hardware implementation. The author provides a unified view linking the domains of digital design and arithmetic algorithms, based on original formalisms and hardware description languages. -- -- A feature of the book is the large number of examples and the implementation details provided. While the author does not avoid high-level details, providing for example gate-level designs for all matrix/combinational arithmetic structures. -- -- The book is suitable for researchers and students engaged with hardware design in computer science and engineering Front Matter....Pages I-VI The Representation of Numbers in Computing Systems....Pages 1-19 Functional Analysis and Synthesis of Binary and Decimal Adding and Subtracting Devices....Pages 21-65 Functional Analysis and Synthesis of Binary Multiplication Devices....Pages 67-142 Functional Analysis and Synthesis of Binary Division Devices....Pages 143-194 Functional Analysis and Synthesis of Floating Point Arithmetic Devices....Pages 195-246 Back Matter....Pages 247-267 Computer Arithmetic provides a complete procedure for linking the digital design and arithmetic algorithms domain, based on original formalism and hardware description languages. Readers will find gate-level designs for all matrix/combinatorial arithmetic structures.