Book Image

Modern Computer Architecture and Organization – Second Edition - Second Edition

By : Jim Ledin
Book Image

Modern Computer Architecture and Organization – Second Edition - Second Edition

By: Jim Ledin

Overview of this book

Are you a software developer, systems designer, or computer architecture student looking for a methodical introduction to digital device architectures, but are overwhelmed by the complexity of modern systems? This step-by-step guide will teach you how modern computer systems work with the help of practical examples and exercises. You’ll gain insights into the internal behavior of processors down to the circuit level and will understand how the hardware executes code developed in high-level languages. This book will teach you the fundamentals of computer systems including transistors, logic gates, sequential logic, and instruction pipelines. You will learn details of modern processor architectures and instruction sets including x86, x64, ARM, and RISC-V. You will see how to implement a RISC-V processor in a low-cost FPGA board and write a quantum computing program and run it on an actual quantum computer. This edition has been updated to cover the architecture and design principles underlying the important domains of cybersecurity, blockchain and bitcoin mining, and self-driving vehicles. By the end of this book, you will have a thorough understanding of modern processors and computer architecture and the future directions these technologies are likely to take.
Table of Contents (21 chapters)
18
Other Books You May Enjoy
19
Index

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

...