(ISA) Evolution of Instruction Sets Instructions
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Lab 7: Floating-Point Addition 0.0
Lab 7: Floating-Point Addition 0.0 Introduction In this lab, you will write a MIPS assembly language function that performs floating-point addition. You will then run your program using PCSpim (just as you did in Lab 6). For testing, you are provided a program that calls your function to compute the value of the mathematical constant e. For those with no assembly language experience, this will be a long lab, so plan your time accordingly. Background You should be familiar with the IEEE 754 Floating-Point Standard, which is described in Section 3.6 of your book. (Hopefully you have read that section carefully!) Here we will be dealing only with single precision floating- point values, which are formatted as follows (this is also described in the “Floating-Point Representation” subsec- tion of Section 3.6 in your book): Sign Exponent (8 bits) Significand (23 bits) 31 30 29 ... 24 23 22 21 ... 0 Remember that the exponent is biased by 127, which means that an exponent of zero is represented by 127 (01111111). The exponent is not encoded using 2s-complement. The significand is always positive, and the sign bit is kept separately. Note that the actual significand is 24 bits long; the first bit is always a 1 and thus does not need to be stored explicitly. This will be important to remember when you write your function! There are several details of IEEE 754 that you will not have to worry about in this lab. For example, the expo- nents 00000000 and 11111111 are reserved for special purposes that are described in your book (representing zero, denormalized numbers and NaNs). -
Pdp11-40.Pdf
processor handbook digital equipment corporation Copyright© 1972, by Digital Equipment Corporation DEC, PDP, UNIBUS are registered trademarks of Digital Equipment Corporation. ii TABLE OF CONTENTS CHAPTER 1 INTRODUCTION 1·1 1.1 GENERAL ............................................. 1·1 1.2 GENERAL CHARACTERISTICS . 1·2 1.2.1 The UNIBUS ..... 1·2 1.2.2 Central Processor 1·3 1.2.3 Memories ........... 1·5 1.2.4 Floating Point ... 1·5 1.2.5 Memory Management .............................. .. 1·5 1.3 PERIPHERALS/OPTIONS ......................................... 1·5 1.3.1 1/0 Devices .......... .................................. 1·6 1.3.2 Storage Devices ...................................... .. 1·6 1.3.3 Bus Options .............................................. 1·6 1.4 SOFTWARE ..... .... ........................................... ............. 1·6 1.4.1 Paper Tape Software .......................................... 1·7 1.4.2 Disk Operating System Software ........................ 1·7 1.4.3 Higher Level Languages ................................... .. 1·7 1.5 NUMBER SYSTEMS ..................................... 1-7 CHAPTER 2 SYSTEM ARCHITECTURE. 2-1 2.1 SYSTEM DEFINITION .............. 2·1 2.2 UNIBUS ......................................... 2-1 2.2.1 Bidirectional Lines ...... 2-1 2.2.2 Master-Slave Relation .. 2-2 2.2.3 Interlocked Communication 2-2 2.3 CENTRAL PROCESSOR .......... 2-2 2.3.1 General Registers ... 2-3 2.3.2 Processor Status Word ....... 2-4 2.3.3 Stack Limit Register 2-5 2.4 EXTENDED INSTRUCTION SET & FLOATING POINT .. 2-5 2.5 CORE MEMORY . .... 2-6 2.6 AUTOMATIC PRIORITY INTERRUPTS .... 2-7 2.6.1 Using the Interrupts . 2-9 2.6.2 Interrupt Procedure 2-9 2.6.3 Interrupt Servicing ............ .. 2-10 2.7 PROCESSOR TRAPS ............ 2-10 2.7.1 Power Failure .............. -
The Hexadecimal Number System and Memory Addressing
C5537_App C_1107_03/16/2005 APPENDIX C The Hexadecimal Number System and Memory Addressing nderstanding the number system and the coding system that computers use to U store data and communicate with each other is fundamental to understanding how computers work. Early attempts to invent an electronic computing device met with disappointing results as long as inventors tried to use the decimal number sys- tem, with the digits 0–9. Then John Atanasoff proposed using a coding system that expressed everything in terms of different sequences of only two numerals: one repre- sented by the presence of a charge and one represented by the absence of a charge. The numbering system that can be supported by the expression of only two numerals is called base 2, or binary; it was invented by Ada Lovelace many years before, using the numerals 0 and 1. Under Atanasoff’s design, all numbers and other characters would be converted to this binary number system, and all storage, comparisons, and arithmetic would be done using it. Even today, this is one of the basic principles of computers. Every character or number entered into a computer is first converted into a series of 0s and 1s. Many coding schemes and techniques have been invented to manipulate these 0s and 1s, called bits for binary digits. The most widespread binary coding scheme for microcomputers, which is recog- nized as the microcomputer standard, is called ASCII (American Standard Code for Information Interchange). (Appendix B lists the binary code for the basic 127- character set.) In ASCII, each character is assigned an 8-bit code called a byte. -
Computer Organization and Architecture Designing for Performance Ninth Edition
COMPUTER ORGANIZATION AND ARCHITECTURE DESIGNING FOR PERFORMANCE NINTH EDITION William Stallings Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montréal Toronto Delhi Mexico City São Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo Editorial Director: Marcia Horton Designer: Bruce Kenselaar Executive Editor: Tracy Dunkelberger Manager, Visual Research: Karen Sanatar Associate Editor: Carole Snyder Manager, Rights and Permissions: Mike Joyce Director of Marketing: Patrice Jones Text Permission Coordinator: Jen Roach Marketing Manager: Yez Alayan Cover Art: Charles Bowman/Robert Harding Marketing Coordinator: Kathryn Ferranti Lead Media Project Manager: Daniel Sandin Marketing Assistant: Emma Snider Full-Service Project Management: Shiny Rajesh/ Director of Production: Vince O’Brien Integra Software Services Pvt. Ltd. Managing Editor: Jeff Holcomb Composition: Integra Software Services Pvt. Ltd. Production Project Manager: Kayla Smith-Tarbox Printer/Binder: Edward Brothers Production Editor: Pat Brown Cover Printer: Lehigh-Phoenix Color/Hagerstown Manufacturing Buyer: Pat Brown Text Font: Times Ten-Roman Creative Director: Jayne Conte Credits: Figure 2.14: reprinted with permission from The Computer Language Company, Inc. Figure 17.10: Buyya, Rajkumar, High-Performance Cluster Computing: Architectures and Systems, Vol I, 1st edition, ©1999. Reprinted and Electronically reproduced by permission of Pearson Education, Inc. Upper Saddle River, New Jersey, Figure 17.11: Reprinted with permission from Ethernet Alliance. Credits and acknowledgments borrowed from other sources and reproduced, with permission, in this textbook appear on the appropriate page within text. Copyright © 2013, 2010, 2006 by Pearson Education, Inc., publishing as Prentice Hall. All rights reserved. Manufactured in the United States of America. -
Appendix D an Alternative to RISC: the Intel 80X86
D.1 Introduction D-2 D.2 80x86 Registers and Data Addressing Modes D-3 D.3 80x86 Integer Operations D-6 D.4 80x86 Floating-Point Operations D-10 D.5 80x86 Instruction Encoding D-12 D.6 Putting It All Together: Measurements of Instruction Set Usage D-14 D.7 Concluding Remarks D-20 D.8 Historical Perspective and References D-21 D An Alternative to RISC: The Intel 80x86 The x86 isn’t all that complex—it just doesn’t make a lot of sense. Mike Johnson Leader of 80x86 Design at AMD, Microprocessor Report (1994) © 2003 Elsevier Science (USA). All rights reserved. D-2 I Appendix D An Alternative to RISC: The Intel 80x86 D.1 Introduction MIPS was the vision of a single architect. The pieces of this architecture fit nicely together and the whole architecture can be described succinctly. Such is not the case of the 80x86: It is the product of several independent groups who evolved the architecture over 20 years, adding new features to the original instruction set as you might add clothing to a packed bag. Here are important 80x86 milestones: I 1978—The Intel 8086 architecture was announced as an assembly language– compatible extension of the then-successful Intel 8080, an 8-bit microproces- sor. The 8086 is a 16-bit architecture, with all internal registers 16 bits wide. Whereas the 8080 was a straightforward accumulator machine, the 8086 extended the architecture with additional registers. Because nearly every reg- ister has a dedicated use, the 8086 falls somewhere between an accumulator machine and a general-purpose register machine, and can fairly be called an extended accumulator machine. -
POINTER (IN C/C++) What Is a Pointer?
POINTER (IN C/C++) What is a pointer? Variable in a program is something with a name, the value of which can vary. The way the compiler and linker handles this is that it assigns a specific block of memory within the computer to hold the value of that variable. • The left side is the value in memory. • The right side is the address of that memory Dereferencing: • int bar = *foo_ptr; • *foo_ptr = 42; // set foo to 42 which is also effect bar = 42 • To dereference ted, go to memory address of 1776, the value contain in that is 25 which is what we need. Differences between & and * & is the reference operator and can be read as "address of“ * is the dereference operator and can be read as "value pointed by" A variable referenced with & can be dereferenced with *. • Andy = 25; • Ted = &andy; All expressions below are true: • andy == 25 // true • &andy == 1776 // true • ted == 1776 // true • *ted == 25 // true How to declare pointer? • Type + “*” + name of variable. • Example: int * number; • char * c; • • number or c is a variable is called a pointer variable How to use pointer? • int foo; • int *foo_ptr = &foo; • foo_ptr is declared as a pointer to int. We have initialized it to point to foo. • foo occupies some memory. Its location in memory is called its address. &foo is the address of foo Assignment and pointer: • int *foo_pr = 5; // wrong • int foo = 5; • int *foo_pr = &foo; // correct way Change the pointer to the next memory block: • int foo = 5; • int *foo_pr = &foo; • foo_pr ++; Pointer arithmetics • char *mychar; // sizeof 1 byte • short *myshort; // sizeof 2 bytes • long *mylong; // sizeof 4 byts • mychar++; // increase by 1 byte • myshort++; // increase by 2 bytes • mylong++; // increase by 4 bytes Increase pointer is different from increase the dereference • *P++; // unary operation: go to the address of the pointer then increase its address and return a value • (*P)++; // get the value from the address of p then increase the value by 1 Arrays: • int array[] = {45,46,47}; • we can call the first element in the array by saying: *array or array[0]. -
Computer Organization & Architecture Eie
COMPUTER ORGANIZATION & ARCHITECTURE EIE 411 Course Lecturer: Engr Banji Adedayo. Reg COREN. The characteristics of different computers vary considerably from category to category. Computers for data processing activities have different features than those with scientific features. Even computers configured within the same application area have variations in design. Computer architecture is the science of integrating those components to achieve a level of functionality and performance. It is logical organization or designs of the hardware that make up the computer system. The internal organization of a digital system is defined by the sequence of micro operations it performs on the data stored in its registers. The internal structure of a MICRO-PROCESSOR is called its architecture and includes the number lay out and functionality of registers, memory cell, decoders, controllers and clocks. HISTORY OF COMPUTER HARDWARE The first use of the word ‘Computer’ was recorded in 1613, referring to a person who carried out calculation or computation. A brief History: Computer as we all know 2day had its beginning with 19th century English Mathematics Professor named Chales Babage. He designed the analytical engine and it was this design that the basic frame work of the computer of today are based on. 1st Generation 1937-1946 The first electronic digital computer was built by Dr John V. Atanasoff & Berry Cliford (ABC). In 1943 an electronic computer named colossus was built for military. 1946 – The first general purpose digital computer- the Electronic Numerical Integrator and computer (ENIAC) was built. This computer weighed 30 tons and had 18,000 vacuum tubes which were used for processing. -
Please Replace the Following Pages in the Book. 26 Microcontroller Theory and Applications with the PIC18F
Please replace the following pages in the book. 26 Microcontroller Theory and Applications with the PIC18F Before Push After Push Stack Stack 16-bit Register 0120 143E 20C2 16-bit Register 0120 SP 20CA SP 20C8 143E 20C2 0703 20C4 0703 20C4 F601 20C6 F601 20C6 0706 20C8 0706 20C8 0120 20CA 20CA 20CC 20CC 20CE 20CE Bottom of Stack FIGURE 2.12 PUSH operation when accessing a stack from the bottom Before POP After POP Stack 16-bit Register A286 16-bit Register 0360 Stack 143E 20C2 SP 20C8 SP 20CA 143E 20C2 0705 20C4 0705 20C4 F208 20C6 F208 20C6 0107 20C8 0107 20C8 A286 20CA A286 20CA 20CC 20CC Bottom of Stack FIGURE 2.13 POP operation when accessing a stack from the bottom Note that the stack is a LIFO (last in, first out) memory. As mentioned earlier, a stack is typically used during subroutine CALLs. The CPU automatically PUSHes the return address onto a stack after executing a subroutine CALL instruction in the main program. After executing a RETURN from a subroutine instruction (placed by the programmer as the last instruction of the subroutine), the CPU automatically POPs the return address from the stack (previously PUSHed) and then returns control to the main program. Note that the PIC18F accesses the stack from the top. This means that the stack pointer in the PIC18F holds the address of the bottom of the stack. Hence, in the PIC18F, the stack pointer is incremented after a PUSH, and decremented after a POP. 2.3.2 Control Unit The main purpose of the control unit is to read and decode instructions from the program memory. -
Subtyping Recursive Types
ACM Transactions on Programming Languages and Systems, 15(4), pp. 575-631, 1993. Subtyping Recursive Types Roberto M. Amadio1 Luca Cardelli CNRS-CRIN, Nancy DEC, Systems Research Center Abstract We investigate the interactions of subtyping and recursive types, in a simply typed λ-calculus. The two fundamental questions here are whether two (recursive) types are in the subtype relation, and whether a term has a type. To address the first question, we relate various definitions of type equivalence and subtyping that are induced by a model, an ordering on infinite trees, an algorithm, and a set of type rules. We show soundness and completeness between the rules, the algorithm, and the tree semantics. We also prove soundness and a restricted form of completeness for the model. To address the second question, we show that to every pair of types in the subtype relation we can associate a term whose denotation is the uniquely determined coercion map between the two types. Moreover, we derive an algorithm that, when given a term with implicit coercions, can infer its least type whenever possible. 1This author's work has been supported in part by Digital Equipment Corporation and in part by the Stanford-CNR Collaboration Project. Page 1 Contents 1. Introduction 1.1 Types 1.2 Subtypes 1.3 Equality of Recursive Types 1.4 Subtyping of Recursive Types 1.5 Algorithm outline 1.6 Formal development 2. A Simply Typed λ-calculus with Recursive Types 2.1 Types 2.2 Terms 2.3 Equations 3. Tree Ordering 3.1 Subtyping Non-recursive Types 3.2 Folding and Unfolding 3.3 Tree Expansion 3.4 Finite Approximations 4. -
A Variable Precision Hardware Acceleration for Scientific Computing Andrea Bocco
A variable precision hardware acceleration for scientific computing Andrea Bocco To cite this version: Andrea Bocco. A variable precision hardware acceleration for scientific computing. Discrete Mathe- matics [cs.DM]. Université de Lyon, 2020. English. NNT : 2020LYSEI065. tel-03102749 HAL Id: tel-03102749 https://tel.archives-ouvertes.fr/tel-03102749 Submitted on 7 Jan 2021 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. N°d’ordre NNT : 2020LYSEI065 THÈSE de DOCTORAT DE L’UNIVERSITÉ DE LYON Opérée au sein de : CEA Grenoble Ecole Doctorale InfoMaths EDA N17° 512 (Informatique Mathématique) Spécialité de doctorat :Informatique Soutenue publiquement le 29/07/2020, par : Andrea Bocco A variable precision hardware acceleration for scientific computing Devant le jury composé de : Frédéric Pétrot Président et Rapporteur Professeur des Universités, TIMA, Grenoble, France Marc Dumas Rapporteur Professeur des Universités, École Normale Supérieure de Lyon, France Nathalie Revol Examinatrice Docteure, École Normale Supérieure de Lyon, France Fabrizio Ferrandi Examinateur Professeur associé, Politecnico di Milano, Italie Florent de Dinechin Directeur de thèse Professeur des Universités, INSA Lyon, France Yves Durand Co-directeur de thèse Docteur, CEA Grenoble, France Cette thèse est accessible à l'adresse : http://theses.insa-lyon.fr/publication/2020LYSEI065/these.pdf © [A. -
Register Are Used to Quickly Accept, Store, and Transfer Data And
Register are used to quickly accept, store, and transfer data and instructions that are being used immediately by the CPU, there are various types of Registers those are used for various purpose. Among of the some Mostly used Registers named as AC or Accumulator, Data Register or DR, the AR or Address Register, program counter (PC), Memory Data Register (MDR) ,Index register,Memory Buffer Register. These Registers are used for performing the various Operations. While we are working on the System then these Registers are used by the CPU for Performing the Operations. When We Gives Some Input to the System then the Input will be Stored into the Registers and When the System will gives us the Results after Processing then the Result will also be from the Registers. So that they are used by the CPU for Processing the Data which is given by the User. Registers Perform:- 1) Fetch: The Fetch Operation is used for taking the instructions those are given by the user and the Instructions those are stored into the Main Memory will be fetch by using Registers. 2) Decode: The Decode Operation is used for interpreting the Instructions means the Instructions are decoded means the CPU will find out which Operation is to be performed on the Instructions. 3) Execute: The Execute Operation is performed by the CPU. And Results those are produced by the CPU are then Stored into the Memory and after that they are displayed on the user Screen. Types of Registers are as Followings 1. MAR stand for Memory Address Register This register holds the memory addresses of data and instructions. -
Computer Organization
Chapter 12 Computer Organization Central Processing Unit (CPU) • Data section ‣ Receives data from and sends data to the main memory subsystem and I/O devices • Control section ‣ Issues the control signals to the data section and the other components of the computer system Figure 12.1 CPU Input Data Control Main Output device section section Memory device Bus Data flow Control CPU components • 16-bit memory address register (MAR) ‣ 8-bit MARA and 8-bit MARB • 8-bit memory data register (MDR) • 8-bit multiplexers ‣ AMux, CMux, MDRMux ‣ 0 on control line routes left input ‣ 1 on control line routes right input Control signals • Originate from the control section on the right (not shown in Figure 12.2) • Two kinds of control signals ‣ Clock signals end in “Ck” to load data into registers with a clock pulse ‣ Signals that do not end in “Ck” to set up the data flow before each clock pulse arrives 0 1 8 14 15 22 23 A IR T3 M1 0x00 0x01 2 3 9 10 16 17 24 25 LoadCk Figure 12.2 X T4 M2 0x02 0x03 4 5 11 18 19 26 27 5 C SP T1 T5 M3 0x04 0x08 5 6 7 12 13 20 21 28 29 B PC T2 T6 M4 0xFA 0xFC 5 30 31 A CPU registers M5 0xFE 0xFF CBus ABus BBus Bus MARB MARCk MARA MDRCk MDR MDRMux AMux AMux MDRMux CMux 4 ALU ALU CMux Cin Cout C CCk Mem V VCk ANDZ Addr ANDZ Z ZCk Zout 0 Data 0 0 0 N NCk MemWrite MemRead Figure 12.2 (Expanded) 0 1 8 14 15 22 23 A IR T3 M1 0x00 0x01 2 3 9 10 16 17 24 25 LoadCk X T4 M2 0x02 0x03 4 5 11 18 19 26 27 5 C SP T1 T5 M3 0x04 0x08 5 6 7 12 13 20 21 28 29 B PC T2 T6 M4 0xFA 0xFC 5 30 31 A CPU registers M5 0xFE 0xFF CBus ABus BBus