Computer arithmetic lectures

1. Numbers and Arithmetic......Page 1 2. Representing Signed Numbers......Page 14 3. Redundant Number Systems......Page 34 4. Residue Number Systems......Page 56 5. Basic Addition and Counting......Page 75 6. Carry-Lookahead Adder......Page 88 7. Variations in Fast Adder......Page 102 8. Multioperand Addition......Page 118 9. Basic Multiplication Schemes......Page 132 10. High-Radix Multipliers......Page 141 11. Tree and Array Multipliers......Page 149 12. Variations in Multiplier......Page 165 13. Basic Division Schemes......Page 180 14. High-Radix Dividers......Page 187 15. Variations in Dividers......Page 203 16. Division by Convergence......Page 215 17. Floating-Point Representations......Page 229 18. Floating-Point Operations......Page 245 19. Error and Error Control......Page 255 20. Precise and Certifiable Arithmetic......Page 269 21. Square Root......Page 284 22. The CORDIC Algorithm......Page 298 23. Variations in Function Evaluation......Page 316 24. Arithmetic by Table Lookup......Page 330