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Modern Computer Architecture and Organization – Second Edition - Second Edition

You're reading from  Modern Computer Architecture and Organization – Second Edition - Second Edition

Product type Book
Published in May 2022
Publisher Packt
ISBN-13 9781803234519
Pages 666 pages
Edition 2nd Edition
Languages
Author (1):
Jim Ledin Jim Ledin
Profile icon Jim Ledin

Table of Contents (21) Chapters

Preface 1. Introducing Computer Architecture 2. Digital Logic 3. Processor Elements 4. Computer System Components 5. Hardware-Software Interface 6. Specialized Computing Domains 7. Processor and Memory Architectures 8. Performance-Enhancing Techniques 9. Specialized Processor Extensions 10. Modern Processor Architectures and Instruction Sets 11. The RISC-V Architecture and Instruction Set 12. Processor Virtualization 13. Domain-Specific Computer Architectures 14. Cybersecurity and Confidential Computing Architectures 15. Blockchain and Bitcoin Mining Architectures 16. Self-Driving Vehicle Architectures 17. Quantum Computing and Other Future Directions in Computer Architectures 18. Other Books You May Enjoy
19. Index
Appendix

Chapter 3: Processor Elements

Exercise 1

Consider the addition of two signed 8-bit numbers (that is, numbers in the range -128 to +127) where one operand is positive and the other is negative. Is there any pair of 8-bit numbers of different signs that, when added together, will exceed the range -128 to +127? This would constitute a signed overflow. Note: we’re only looking at addition here because, as we’ve seen, subtraction in the 6502 architecture is the same as addition with the right operand’s bits inverted.

Answer

The range of the positive (or non-negative) numbers is 0 to 127. The range of negative numbers is -128 to -1. It is only necessary to consider the extremes of each of these ranges to cover all possibilities:

Sum

Result

0 + -128

-128

...
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