Chapter 4 MARIE: an Introduction to a Simple Computer
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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). -
How Data Hazards Can Be Removed Effectively
International Journal of Scientific & Engineering Research, Volume 7, Issue 9, September-2016 116 ISSN 2229-5518 How Data Hazards can be removed effectively Muhammad Zeeshan, Saadia Anayat, Rabia and Nabila Rehman Abstract—For fast Processing of instructions in computer architecture, the most frequently used technique is Pipelining technique, the Pipelining is consider an important implementation technique used in computer hardware for multi-processing of instructions. Although multiple instructions can be executed at the same time with the help of pipelining, but sometimes multi-processing create a critical situation that altered the normal CPU executions in expected way, sometime it may cause processing delay and produce incorrect computational results than expected. This situation is known as hazard. Pipelining processing increase the processing speed of the CPU but these Hazards that accrue due to multi-processing may sometime decrease the CPU processing. Hazards can be needed to handle properly at the beginning otherwise it causes serious damage to pipelining processing or overall performance of computation can be effected. Data hazard is one from three types of pipeline hazards. It may result in Race condition if we ignore a data hazard, so it is essential to resolve data hazards properly. In this paper, we tries to present some ideas to deal with data hazards are presented i.e. introduce idea how data hazards are harmful for processing and what is the cause of data hazards, why data hazard accord, how we remove data hazards effectively. While pipelining is very useful but there are several complications and serious issue that may occurred related to pipelining i.e. -
Simple Computer Example Register Structure
Simple Computer Example Register Structure Read pp. 27-85 Simple Computer • To illustrate how a computer operates, let us look at the design of a very simple computer • Specifications 1. Memory words are 16 bits in length 2. 2 12 = 4 K words of memory 3. Memory can be accessed in one clock cycle 4. Single Accumulator for ALU (AC) 5. Registers are fully connected Simple Computer Continued 4K x 16 Memory MAR 12 MDR 16 X PC 12 ALU IR 16 AC Simple Computer Specifications (continued) 6. Control signals • INCPC – causes PC to increment on clock edge - [PC] +1 PC •ACin - causes output of ALU to be stored in AC • GMDR2X – get memory data register to X - [MDR] X • Read (Write) – Read (Write) contents of memory location whose address is in MAR To implement instructions, control unit must break down the instruction into a series of register transfers (just like a complier must break down C program into a series of machine level instructions) Simple Computer (continued) • Typical microinstruction for reading memory State Register Transfer Control Line(s) Next State 1 [[MAR]] MDR Read 2 • Timing State 1 State 2 During State 1, Read set by control unit CLK - Data is read from memory - MDR changes at the Read beginning of State 2 - Read is completed in one clock cycle MDR Simple Computer (continued) • Study: how to write the microinstructions to implement 3 instructions • ADD address • ADD (address) • JMP address ADD address: add using direct addressing 0000 address [AC] + [address] AC ADD (address): add using indirect addressing 0001 address [AC] + [[address]] AC JMP address 0010 address address PC Instruction Format for Simple Computer IR OP 4 AD 12 AD = address - Two phases to implement instructions: 1. -
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. -
18-447 Computer Architecture Lecture 6: Multi-Cycle and Microprogrammed Microarchitectures
18-447 Computer Architecture Lecture 6: Multi-Cycle and Microprogrammed Microarchitectures Prof. Onur Mutlu Carnegie Mellon University Spring 2015, 1/28/2015 Agenda for Today & Next Few Lectures n Single-cycle Microarchitectures n Multi-cycle and Microprogrammed Microarchitectures n Pipelining n Issues in Pipelining: Control & Data Dependence Handling, State Maintenance and Recovery, … n Out-of-Order Execution n Issues in OoO Execution: Load-Store Handling, … 2 Reminder on Assignments n Lab 2 due next Friday (Feb 6) q Start early! n HW 1 due today n HW 2 out n Remember that all is for your benefit q Homeworks, especially so q All assignments can take time, but the goal is for you to learn very well 3 Lab 1 Grades 25 20 15 10 5 Number of Students 0 30 40 50 60 70 80 90 100 n Mean: 88.0 n Median: 96.0 n Standard Deviation: 16.9 4 Extra Credit for Lab Assignment 2 n Complete your normal (single-cycle) implementation first, and get it checked off in lab. n Then, implement the MIPS core using a microcoded approach similar to what we will discuss in class. n We are not specifying any particular details of the microcode format or the microarchitecture; you can be creative. n For the extra credit, the microcoded implementation should execute the same programs that your ordinary implementation does, and you should demo it by the normal lab deadline. n You will get maximum 4% of course grade n Document what you have done and demonstrate well 5 Readings for Today n P&P, Revised Appendix C q Microarchitecture of the LC-3b q Appendix A (LC-3b ISA) will be useful in following this n P&H, Appendix D q Mapping Control to Hardware n Optional q Maurice Wilkes, “The Best Way to Design an Automatic Calculating Machine,” Manchester Univ. -
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. -
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]. -
MIPS IV Instruction Set
MIPS IV Instruction Set Revision 3.2 September, 1995 Charles Price MIPS Technologies, Inc. All Right Reserved RESTRICTED RIGHTS LEGEND Use, duplication, or disclosure of the technical data contained in this document by the Government is subject to restrictions as set forth in subdivision (c) (1) (ii) of the Rights in Technical Data and Computer Software clause at DFARS 52.227-7013 and / or in similar or successor clauses in the FAR, or in the DOD or NASA FAR Supplement. Unpublished rights reserved under the Copyright Laws of the United States. Contractor / manufacturer is MIPS Technologies, Inc., 2011 N. Shoreline Blvd., Mountain View, CA 94039-7311. R2000, R3000, R6000, R4000, R4400, R4200, R8000, R4300 and R10000 are trademarks of MIPS Technologies, Inc. MIPS and R3000 are registered trademarks of MIPS Technologies, Inc. The information in this document is preliminary and subject to change without notice. MIPS Technologies, Inc. (MTI) reserves the right to change any portion of the product described herein to improve function or design. MTI does not assume liability arising out of the application or use of any product or circuit described herein. Information on MIPS products is available electronically: (a) Through the World Wide Web. Point your WWW client to: http://www.mips.com (b) Through ftp from the internet site “sgigate.sgi.com”. Login as “ftp” or “anonymous” and then cd to the directory “pub/doc”. (c) Through an automated FAX service: Inside the USA toll free: (800) 446-6477 (800-IGO-MIPS) Outside the USA: (415) 688-4321 (call from a FAX machine) MIPS Technologies, Inc. -
Flynn's Taxonomy
Flynn’s Taxonomy n Michael Flynn (from Stanford) q Made a characterization of computer systems which became known as Flynn’s Taxonomy Computer Instructions Data SISD – Single Instruction Single Data Systems SI SISD SD SIMD – Single Instruction Multiple Data Systems “Vector Processors” SIMD SD SI SIMD SD Multiple Data SIMD SD MIMD Multiple Instructions Multiple Data Systems “Multi Processors” Multiple Instructions Multiple Data SI SIMD SD SI SIMD SD SI SIMD SD MISD – Multiple Instructions / Single Data Systems n Some people say “pipelining” lies here, but this is debatable Single Data Multiple Instructions SIMD SI SD SIMD SI SIMD SI Abbreviations •PC – Program Counter •MAR – Memory Access Register •M – Memory •MDR – Memory Data Register •A – Accumulator •ALU – Arithmetic Logic Unit •IR – Instruction Register •OP – Opcode •ADDR – Address •CLU – Control Logic Unit LOAD X n MAR <- PC n MDR <- M[ MAR ] n IR <- MDR n MAR <- IR[ ADDR ] n DECODER <- IR[ OP ] n MDR <- M[ MAR ] n A <- MDR ADD n MAR <- PC n MDR <- M[ MAR ] n IR <- MDR n MAR <- IR[ ADDR ] n DECODER <- IR[ OP ] n MDR <- M[ MAR ] n A <- A+MDR STORE n MDR <- A n M[ MAR ] <- MDR SISD Stack Machine •Stack Trace •Push 1 1 _ •Push 2 2 1 •Add 2 3 •Pop _ 3 •Pop C _ _ •First Stack Machine •B5000 Array Processor Array Processors n One of the first Array Processors was the ILLIIAC IV n Load A1, V[1] n Load B1, Y[1] n Load A2, V[2] n Load B2, Y[2] n Load A3, V[3] n Load B3, Y[3] n ADDALL n Store C1, W[1] n Store C2, W[2] n Store C3, W[3] Memory Interleaving Definition: Memory interleaving is a design used to gain faster access to memory, by organizing memory into separate memories, each with their own MAR (memory address register). -
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. -
Advanced Computer Architecture
Computer Architecture MTIT C 103 MIPS ISA and Processor Compiled By Afaq Alam Khan Introduction The MIPS architecture is one example of a RISC architecture The MIPS architecture is a register architecture. All arithmetic and logical operations involve only registers (or constants that are stored as part of the instructions). The MIPS architecture also includes several simple instructions for loading data from memory into registers and storing data from registers in memory; for this reason, the MIPS architecture is called a load/store architecture Register ◦ MIPS has 32 integer registers ($0, $1, ....... $30, $31) and 32 floating point registers ($f0, $f1, ....... $f30, $f31) ◦ Size of each register is 32 bits The $k0, $K1, $at, and $gp registers are reserved for os, assembler and global data And are not used by the programmer Miscellaneous Registers ◦ $PC: The $pc or program counter register points to the next instruction to be executed and is automatically updated by the CPU after instruction are executed. This register is not typically accessed directly by user programs ◦ $Status: The $status or status register is the processor status register and is updated after each instruction by the CPU. This register is not typically directly accessed by user programs. ◦ $cause: The $cause or exception cause register is used by the CPU in the event of an exception or unexpected interruption in program control flow. Examples of exceptions include division by 0, attempting to access in illegal memory address, or attempting to execute an invalid instruction (e.g., trying to execute a data item instead of code). ◦ $hi / $lo : The $hi and $lo registers are used by some specialized multiply and divide instructions. -
Instruction Register MAR = Memory Address Register MBR = Memory Buffer Register I/O AR = I/O Address Register I/O BR = I/O Buffer Register
Hardware Level Organization Intro MIPS 1 CPU Main Memory Major components: 0 PC MAR - memory System IR MBR Bus - central processing unit Instruction I/O AR Instruction - registers Instruction Ex Unit I/O BR - the fetch/execute cycle (the hardware process ) Data I/O Module Data Data n-1 buffers PC = program counter IR = instruction register MAR = memory address register MBR = memory buffer register I/O AR = I/O address register I/O BR = I/O buffer register CS @VT Computer Organization II ©2005-2013 McQuain Central Processing Unit Intro MIPS 2 Control - decodes instructions and manages CPU’s internal resources Registers - general-purpose registers available to user processes - special-purpose registers directly managed in fetch/execute cycle - other registers may be reserved for use of operating system - very fast and expensive (relative to memory) - hold all operands and results of arithmetic instructions (on RISC systems) - save bits in instruction representation Data path or arithmetic/logic unit (ALU) - operates on data CS @VT Computer Organization II ©2005-2013 McQuain Stored Program Concept Intro MIPS 3 Instructions are collections of bits Programs are stored in memory, to be read or written just like data Main Memory CPU 0 memory for data, programs, PC MAR compilers, editors, etc. Instruction IR MBR Instruction I/O AR Instruction Ex Unit I/O BR Data Data Data n-1 Fetch & Execute Cycle Instructions are fetched and put into a special register Bits in the register "control" the subsequent actions Fetch the “next” instruction and continue CS @VT Computer Organization II ©2005-2013 McQuain Stored Program Concept Intro MIPS 4 Of course, on most systems several programs will be stored in memory at any given time.