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