This document provides an overview of microcomputer structure and operation. It describes the basic components of a CPU including registers, control unit, and ALU. It explains the bus structure used to transfer information between components. It also details the instruction execution cycle and how instructions are fetched, decoded, and executed. Finally, it includes a system block diagram showing how various components like memory, I/O devices, and timing circuitry interface with the CPU and bus.
Digital Systems, Computers, and Beyond
Information Representation
Number Systems [binary, octal and hexadecimal]
Arithmetic Operations
Base Conversion
Decimal Codes [BCD (binary coded decimal)]
Alphanumeric Codes
Parity Bit
Gray Codes
The document provides an overview of computer system organization and microprocessors. It discusses the basic structure of computer hardware, including the microprocessor, memory, and registers. It also covers memory organization and basic data types like bytes, words, and paragraphs. Additionally, it introduces several number systems including binary, decimal, octal, and hexadecimal, and how to convert between them. Finally, it discusses basics of assembly programming and using an editor and debugger.
This document discusses digital logic design and binary numbers. It covers topics such as digital vs analog signals, binary number systems, addition and subtraction in binary, and number base conversions between decimal, binary, octal, and hexadecimal. It also discusses complements, specifically 1's complement and radix complement. The purpose is to provide background information on fundamental concepts for digital logic design.
Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. ... Number Systems comprise of multiple types based on the base value for its digits.
This document summarizes digital logic design lecture 4 on binary addition and signed numbers. It discusses:
1) The rules of binary addition and how to add 4-bit binary numbers using a full adder.
2) How signed numbers work in binary, including problems with the signed magnitude representation.
3) How two's complement solves the problems with signed magnitude by representing negative numbers as the binary equivalents of their positive value subtracted from 2^n.
4) Examples of adding and converting between positive and negative numbers using two's complement.
This document discusses digital systems and binary number representation. It covers:
1) An overview of digital systems including their applications and design process.
2) Converting between different number bases such as binary, decimal, octal and hexadecimal. Methods for addition, subtraction, multiplication and division in binary are also presented.
3) Techniques for representing negative numbers in binary including sign-magnitude, 1's complement, and 2's complement representations. The process of adding numbers in both the 1's complement and 2's complement systems is explained.
This document provides an overview of digital systems and number representation in digital logic design. It discusses:
- Digital systems take discrete inputs and have discrete internal states to generate discrete outputs.
- Digital systems can be combinational (output depends only on input) or sequential (output depends on input and state). Sequential systems can be synchronous (state updates at clock) or asynchronous.
- Number systems like binary, octal, hexadecimal represent numbers using different radixes or bases. Binary uses two digits (0-1) while octal uses eight and hexadecimal uses sixteen.
- Operations like addition and subtraction can be performed in any number base through appropriate algorithms. Numbers can be converted between bases through division and
This document provides information about a digital logic design course taught by Dr. Javaid Khurshid including the instructor and lab instructor contact details, lecture and lab schedule, grading policy, textbooks, and syllabus. The syllabus covers topics such as number systems, logic gates, Boolean algebra, combinational and sequential logic, memory, and microprocessors.
Digital Systems, Computers, and Beyond
Information Representation
Number Systems [binary, octal and hexadecimal]
Arithmetic Operations
Base Conversion
Decimal Codes [BCD (binary coded decimal)]
Alphanumeric Codes
Parity Bit
Gray Codes
The document provides an overview of computer system organization and microprocessors. It discusses the basic structure of computer hardware, including the microprocessor, memory, and registers. It also covers memory organization and basic data types like bytes, words, and paragraphs. Additionally, it introduces several number systems including binary, decimal, octal, and hexadecimal, and how to convert between them. Finally, it discusses basics of assembly programming and using an editor and debugger.
This document discusses digital logic design and binary numbers. It covers topics such as digital vs analog signals, binary number systems, addition and subtraction in binary, and number base conversions between decimal, binary, octal, and hexadecimal. It also discusses complements, specifically 1's complement and radix complement. The purpose is to provide background information on fundamental concepts for digital logic design.
Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. ... Number Systems comprise of multiple types based on the base value for its digits.
This document summarizes digital logic design lecture 4 on binary addition and signed numbers. It discusses:
1) The rules of binary addition and how to add 4-bit binary numbers using a full adder.
2) How signed numbers work in binary, including problems with the signed magnitude representation.
3) How two's complement solves the problems with signed magnitude by representing negative numbers as the binary equivalents of their positive value subtracted from 2^n.
4) Examples of adding and converting between positive and negative numbers using two's complement.
This document discusses digital systems and binary number representation. It covers:
1) An overview of digital systems including their applications and design process.
2) Converting between different number bases such as binary, decimal, octal and hexadecimal. Methods for addition, subtraction, multiplication and division in binary are also presented.
3) Techniques for representing negative numbers in binary including sign-magnitude, 1's complement, and 2's complement representations. The process of adding numbers in both the 1's complement and 2's complement systems is explained.
This document provides an overview of digital systems and number representation in digital logic design. It discusses:
- Digital systems take discrete inputs and have discrete internal states to generate discrete outputs.
- Digital systems can be combinational (output depends only on input) or sequential (output depends on input and state). Sequential systems can be synchronous (state updates at clock) or asynchronous.
- Number systems like binary, octal, hexadecimal represent numbers using different radixes or bases. Binary uses two digits (0-1) while octal uses eight and hexadecimal uses sixteen.
- Operations like addition and subtraction can be performed in any number base through appropriate algorithms. Numbers can be converted between bases through division and
This document provides information about a digital logic design course taught by Dr. Javaid Khurshid including the instructor and lab instructor contact details, lecture and lab schedule, grading policy, textbooks, and syllabus. The syllabus covers topics such as number systems, logic gates, Boolean algebra, combinational and sequential logic, memory, and microprocessors.
DLD Presentation By Team Reboot,Rafin Rayan,EUBRafin Rayan
Digital Logic Design Presentation By Team Rboot ,Student's of Computer Science & Engineering Department , European University Of Bangladesh . Total 4 Member's Team &Team Leader is Rafin Rayan (Dept. Of CSE,EUB)
This document discusses various number systems including binary, decimal, octal, and hexadecimal. It covers converting between these number bases, as well as operations like addition and multiplication in binary. Common number prefixes and powers of 10 and 2 are defined. Techniques for converting between decimal, binary, octal and hexadecimal are presented using examples. Fractions are also discussed, including converting between decimal and binary fractions.
This document describes a microcontroller-based design for direct conversion between octal and hexadecimal numbering systems without returning to another system such as decimal or binary. The design uses a microcontroller, LCD display, and keypad for input and output. An algorithm is presented for the direct conversion between octal and hexadecimal using lookup tables and calculation steps. The hardware and software were tested by entering sample octal and hexadecimal numbers and displaying the correct conversions. The results demonstrate the functionality of the direct conversion method and design.
The document discusses digital logic design and covers the following topics:
- Basics of logic gates and digital circuits including transistors, integration levels, and logic functions.
- Combinational circuits such as multiplexers, demultiplexers, decoders, comparators, adders, and arithmetic logic units (ALUs). Specific circuit examples and implementations are provided.
- Sequential circuits are mentioned but not covered in detail.
The document discusses number systems used in computing such as binary, octal, decimal, and hexadecimal. It provides details on how to convert between these different number systems including techniques for converting binary to decimal, octal to binary, hexadecimal to octal, and others. Examples are given to demonstrate converting specific numbers between the different bases. Common prefixes for powers of 10 and powers of 2 are also defined. The document is meant to introduce students to common number systems used in computers.
The 10th Digital Learning Maths for IT sessions - The theme this time being the OCTAL number system which is used widely in computing circles - IP addressing being one.
Some straight forward conversion tasks for you!
This document provides information about Dr. Krishnanaik Vankdoth and his background and qualifications. It then discusses digital logic design topics like digital circuits, combinational logic, sequential circuits, logic gates, truth tables, adders, decoders, encoders, multiplexers and demultiplexers. Example circuits are provided and the functions of components like full adders, parallel adders, magnitude comparators are explained through diagrams and logic equations.
This document provides an outline for a course on digital logic design. It includes the course title and credit hours, topics that will be covered such as Boolean algebra, logic gates, combinational and sequential circuits, programmable logic devices, and memory. It also lists recommended textbooks and provides the grading breakdown. Examples of analogue and digital quantities, signals, and number systems are given. Common logic gates such as AND, OR, NOT, NAND and NOR are described along with their truth tables and applications. Combinational circuits, functional devices, sequential circuits and memory are also introduced.
The document contains algorithms for parallel and distributed computing. It includes algorithms for finding the maximum value in an array, searching an array in parallel, computing prefix sums, performing broadcasts across arrays and networks, and performing tasks like leader election on networks. The algorithms are expressed in pseudocode and utilize common parallel patterns like parallel loops and computing in parallel across subsets of data.
The document summarizes arithmetic operations for computers including integer and floating point numbers. It discusses addition, subtraction, multiplication, and division for integers and floating point numbers. It also describes common representations for floating point numbers according to the IEEE 754 standard and arithmetic operations on floating point numbers including addition, subtraction, multiplication, and division. Hardware implementations for integer and floating point arithmetic are also briefly discussed.
This document discusses number systems and binary arithmetic. It covers the following number systems: binary, decimal, octal, hexadecimal and their interconversions. It also discusses binary addition, subtraction, multiplication and division operations. Additionally, it covers binary codes, boolean algebra and various types of binary complements like 1's complement, 2's complement, 9's complement and 10's complement.
This document discusses an overview of computer organization and digital logic. It covers topics like Boolean algebra, logic gates, number systems, and computer generations. Specifically, it defines computer architecture and organization, describes the hierarchy of computer design from software to hardware. It also explains binary numbers, logic gates like AND, OR, NAND and their truth tables. Finally, it discusses number systems used in computers like binary, hexadecimal and their conversions to decimal.
An electrical signal with two discrete levels (high and low). Digital Electronics is an Electronics that uses binary numbers of 1 and 0 to represent information.
This document discusses matrix factorization techniques for recommender systems. It begins by describing common approaches like content-based, collaborative filtering, and hybrid recommender systems. It then focuses on collaborative filtering, discussing memory and cold start issues with user-based and item-based approaches. The document introduces latent factor models like matrix factorization that address these issues by representing users and items as vectors of factors. It covers optimization techniques like alternating least squares for explicit and implicit feedback datasets. Finally, it discusses evaluation metrics like MAP and NDCG that are more appropriate than RMSE for recommender systems.
Digital electronics(EC8392) unit- 1-Sesha Vidhya S/ ASP/ECE/RMKCETSeshaVidhyaS
Number systems, Number conversion,Logic Gates,Boolean Theorem and Laws,Boolean Simplification,NAND,NOR Implementation,K-MAP simplification and Tabulation Method
This document discusses different number systems including decimal, binary, octal, and hexadecimal. It covers how to represent and convert between these systems. The key points covered are:
- Decimal uses base 10, binary uses base 2, octal uses base 8, and hexadecimal uses base 16
- Each system uses different symbols to represent quantities, from 0-9 for decimal and additional symbols for other systems
- Conversion between systems can be done by dividing or multiplying by the base and tracking remainders or places
- Fractions can be represented by breaking the number into a whole and fractional part in the target base
This document discusses computer arithmetic and floating point representation. It begins with an introduction to computer arithmetic and covers topics like addition, subtraction, multiplication, division and their algorithms. It then discusses floating point representation which uses scientific notation to represent real numbers. Key aspects covered include single and double precision formats, normalized and denormalized numbers, overflow and underflow, and biased exponent representation. Examples are provided to illustrate floating point addition and multiplication. The document also discusses floating point instructions in MIPS and the need for accurate arithmetic in floating point operations.
This document provides an overview of signals and systems as a course topic. It begins with examples of common signal types like audio, images, and medical signals. It then discusses key concepts like how signals are defined based on their relationship to independent variables over time or space. The document outlines the Anna University syllabus for signals and systems, which includes analyzing continuous and discrete time signals and systems using transforms. It discusses potential applications in fields like engineering, medicine, and more. In closing, it highlights some common career paths for those studying signals and systems, like signal processing engineer or communication engineer.
This document provides an overview of the Introduction to Programming in MATLAB course. It outlines the course layout including 5 lectures covering various MATLAB topics. Problem sets are due daily and students must complete all lectures and problem sets to pass. Basic MATLAB skills such as scripts, variables, arrays, and basic plotting are introduced. The document also provides instructions for getting started with MATLAB and accessing resources.
Introduction to Software Engineering: Lecture 1 introduction iAhmed Saber
The document provides an introduction and roadmap for a course on software engineering fundamentals using C++. It discusses topics like how computers work, number systems, character sets, color models, what programming is, differences between low-level and high-level languages, compilers vs interpreters, and operating systems. The roadmap outlines topics like CPU and memory components, binary, decimal, octal, hexadecimal, and other number systems, ASCII, Unicode, RGB, CMYK, what a program is, reasons for learning C++, and more. Explanations and examples are provided for key concepts.
The document discusses different number systems used in digital electronics and computing. It explains that number systems have different bases and describe the bases of common number systems like decimal, binary, octal and hexadecimal. Decimal uses base 10, binary uses base 2, octal uses base 8 and hexadecimal uses base 16. It provides details on how to convert between these different number systems both for whole numbers and fractions using various techniques like multiplying/dividing by the base, grouping bits or hexadecimal digits. Examples are given to illustrate the conversion methods between the different number systems.
This document discusses different number systems including decimal, binary, octal, and hexadecimal. It provides details on how to convert between these number systems including techniques for converting between their digit representations. Examples are given for converting values between decimal, binary, octal, and hexadecimal number bases. Common number prefixes and powers are also defined.
DLD Presentation By Team Reboot,Rafin Rayan,EUBRafin Rayan
Digital Logic Design Presentation By Team Rboot ,Student's of Computer Science & Engineering Department , European University Of Bangladesh . Total 4 Member's Team &Team Leader is Rafin Rayan (Dept. Of CSE,EUB)
This document discusses various number systems including binary, decimal, octal, and hexadecimal. It covers converting between these number bases, as well as operations like addition and multiplication in binary. Common number prefixes and powers of 10 and 2 are defined. Techniques for converting between decimal, binary, octal and hexadecimal are presented using examples. Fractions are also discussed, including converting between decimal and binary fractions.
This document describes a microcontroller-based design for direct conversion between octal and hexadecimal numbering systems without returning to another system such as decimal or binary. The design uses a microcontroller, LCD display, and keypad for input and output. An algorithm is presented for the direct conversion between octal and hexadecimal using lookup tables and calculation steps. The hardware and software were tested by entering sample octal and hexadecimal numbers and displaying the correct conversions. The results demonstrate the functionality of the direct conversion method and design.
The document discusses digital logic design and covers the following topics:
- Basics of logic gates and digital circuits including transistors, integration levels, and logic functions.
- Combinational circuits such as multiplexers, demultiplexers, decoders, comparators, adders, and arithmetic logic units (ALUs). Specific circuit examples and implementations are provided.
- Sequential circuits are mentioned but not covered in detail.
The document discusses number systems used in computing such as binary, octal, decimal, and hexadecimal. It provides details on how to convert between these different number systems including techniques for converting binary to decimal, octal to binary, hexadecimal to octal, and others. Examples are given to demonstrate converting specific numbers between the different bases. Common prefixes for powers of 10 and powers of 2 are also defined. The document is meant to introduce students to common number systems used in computers.
The 10th Digital Learning Maths for IT sessions - The theme this time being the OCTAL number system which is used widely in computing circles - IP addressing being one.
Some straight forward conversion tasks for you!
This document provides information about Dr. Krishnanaik Vankdoth and his background and qualifications. It then discusses digital logic design topics like digital circuits, combinational logic, sequential circuits, logic gates, truth tables, adders, decoders, encoders, multiplexers and demultiplexers. Example circuits are provided and the functions of components like full adders, parallel adders, magnitude comparators are explained through diagrams and logic equations.
This document provides an outline for a course on digital logic design. It includes the course title and credit hours, topics that will be covered such as Boolean algebra, logic gates, combinational and sequential circuits, programmable logic devices, and memory. It also lists recommended textbooks and provides the grading breakdown. Examples of analogue and digital quantities, signals, and number systems are given. Common logic gates such as AND, OR, NOT, NAND and NOR are described along with their truth tables and applications. Combinational circuits, functional devices, sequential circuits and memory are also introduced.
The document contains algorithms for parallel and distributed computing. It includes algorithms for finding the maximum value in an array, searching an array in parallel, computing prefix sums, performing broadcasts across arrays and networks, and performing tasks like leader election on networks. The algorithms are expressed in pseudocode and utilize common parallel patterns like parallel loops and computing in parallel across subsets of data.
The document summarizes arithmetic operations for computers including integer and floating point numbers. It discusses addition, subtraction, multiplication, and division for integers and floating point numbers. It also describes common representations for floating point numbers according to the IEEE 754 standard and arithmetic operations on floating point numbers including addition, subtraction, multiplication, and division. Hardware implementations for integer and floating point arithmetic are also briefly discussed.
This document discusses number systems and binary arithmetic. It covers the following number systems: binary, decimal, octal, hexadecimal and their interconversions. It also discusses binary addition, subtraction, multiplication and division operations. Additionally, it covers binary codes, boolean algebra and various types of binary complements like 1's complement, 2's complement, 9's complement and 10's complement.
This document discusses an overview of computer organization and digital logic. It covers topics like Boolean algebra, logic gates, number systems, and computer generations. Specifically, it defines computer architecture and organization, describes the hierarchy of computer design from software to hardware. It also explains binary numbers, logic gates like AND, OR, NAND and their truth tables. Finally, it discusses number systems used in computers like binary, hexadecimal and their conversions to decimal.
An electrical signal with two discrete levels (high and low). Digital Electronics is an Electronics that uses binary numbers of 1 and 0 to represent information.
This document discusses matrix factorization techniques for recommender systems. It begins by describing common approaches like content-based, collaborative filtering, and hybrid recommender systems. It then focuses on collaborative filtering, discussing memory and cold start issues with user-based and item-based approaches. The document introduces latent factor models like matrix factorization that address these issues by representing users and items as vectors of factors. It covers optimization techniques like alternating least squares for explicit and implicit feedback datasets. Finally, it discusses evaluation metrics like MAP and NDCG that are more appropriate than RMSE for recommender systems.
Digital electronics(EC8392) unit- 1-Sesha Vidhya S/ ASP/ECE/RMKCETSeshaVidhyaS
Number systems, Number conversion,Logic Gates,Boolean Theorem and Laws,Boolean Simplification,NAND,NOR Implementation,K-MAP simplification and Tabulation Method
This document discusses different number systems including decimal, binary, octal, and hexadecimal. It covers how to represent and convert between these systems. The key points covered are:
- Decimal uses base 10, binary uses base 2, octal uses base 8, and hexadecimal uses base 16
- Each system uses different symbols to represent quantities, from 0-9 for decimal and additional symbols for other systems
- Conversion between systems can be done by dividing or multiplying by the base and tracking remainders or places
- Fractions can be represented by breaking the number into a whole and fractional part in the target base
This document discusses computer arithmetic and floating point representation. It begins with an introduction to computer arithmetic and covers topics like addition, subtraction, multiplication, division and their algorithms. It then discusses floating point representation which uses scientific notation to represent real numbers. Key aspects covered include single and double precision formats, normalized and denormalized numbers, overflow and underflow, and biased exponent representation. Examples are provided to illustrate floating point addition and multiplication. The document also discusses floating point instructions in MIPS and the need for accurate arithmetic in floating point operations.
This document provides an overview of signals and systems as a course topic. It begins with examples of common signal types like audio, images, and medical signals. It then discusses key concepts like how signals are defined based on their relationship to independent variables over time or space. The document outlines the Anna University syllabus for signals and systems, which includes analyzing continuous and discrete time signals and systems using transforms. It discusses potential applications in fields like engineering, medicine, and more. In closing, it highlights some common career paths for those studying signals and systems, like signal processing engineer or communication engineer.
This document provides an overview of the Introduction to Programming in MATLAB course. It outlines the course layout including 5 lectures covering various MATLAB topics. Problem sets are due daily and students must complete all lectures and problem sets to pass. Basic MATLAB skills such as scripts, variables, arrays, and basic plotting are introduced. The document also provides instructions for getting started with MATLAB and accessing resources.
Introduction to Software Engineering: Lecture 1 introduction iAhmed Saber
The document provides an introduction and roadmap for a course on software engineering fundamentals using C++. It discusses topics like how computers work, number systems, character sets, color models, what programming is, differences between low-level and high-level languages, compilers vs interpreters, and operating systems. The roadmap outlines topics like CPU and memory components, binary, decimal, octal, hexadecimal, and other number systems, ASCII, Unicode, RGB, CMYK, what a program is, reasons for learning C++, and more. Explanations and examples are provided for key concepts.
The document discusses different number systems used in digital electronics and computing. It explains that number systems have different bases and describe the bases of common number systems like decimal, binary, octal and hexadecimal. Decimal uses base 10, binary uses base 2, octal uses base 8 and hexadecimal uses base 16. It provides details on how to convert between these different number systems both for whole numbers and fractions using various techniques like multiplying/dividing by the base, grouping bits or hexadecimal digits. Examples are given to illustrate the conversion methods between the different number systems.
This document discusses different number systems including decimal, binary, octal, and hexadecimal. It provides details on how to convert between these number systems including techniques for converting between their digit representations. Examples are given for converting values between decimal, binary, octal, and hexadecimal number bases. Common number prefixes and powers are also defined.
This document provides an introduction to number systems used in computing. It discusses decimal, binary, octal and hexadecimal number systems. Techniques for converting between these number systems are presented, including multiplying and dividing by powers of the base to change the base of a number. Addition and multiplication are demonstrated for binary numbers. Fractions are also converted between decimal and binary. Examples are provided for all concepts and an exercise at the end tests the reader's ability to convert numbers between bases.
The document discusses different number systems including binary, decimal, octal and hexadecimal. It explains the basics of each system such as their base and symbols used. Conversion techniques between the different number systems are also presented using examples like dividing or multiplying by the base to determine place values in the target system. An exercise at the end tests conversions between decimal, binary, octal and hexadecimal representations of numbers.
The document discusses different number systems including binary, decimal, octal and hexadecimal. It explains the basics of each system such as their base and symbols used. Techniques for converting between the different number systems are also presented using examples like dividing or multiplying by the base to determine place values in the target system. An exercise at the end has examples of converting values between decimal, binary, octal and hexadecimal formats.
The document discusses different common number systems including decimal, binary, octal, and hexadecimal. It provides tables showing the base, symbols used, whether humans or computers use each system, and examples of counting in each system. The document also describes techniques for converting between the different number systems by multiplying or dividing place values and keeping track of remainders.
Mca i-u-1.1 digital logic circuits, digital component floting and fixed pointRai University
1) The document discusses common number systems such as decimal, binary, octal, and hexadecimal used in computers. It covers how to represent and convert between quantities in these different bases.
2) Techniques for converting between the different number systems are presented, including using weights, remainders, and grouping bits. Examples are provided for converting between decimal, binary, octal, and hexadecimal.
3) Additional topics covered include binary operations like addition and multiplication, fractions, and common powers used in computing. Exercises are included to convert values between the different number systems.
digital logic circuits, digital component floting and fixed pointRai University
1) The document discusses common number systems such as decimal, binary, octal, and hexadecimal used in computers. It covers converting between these number systems and arithmetic operations like addition, subtraction, multiplication, and fractions in different bases.
2) Examples are provided for converting numeric values between decimal, binary, octal, and hexadecimal. Techniques explained include dividing successive powers of the base and keeping track of remainders.
3) Common powers are defined for bases 10 and 2, with explanations of kilo, mega, and giga prefixes typically referring to powers of 2 in computing contexts like memory. Binary operations like addition and multiplication are demonstrated along with fractional representations.
chapter 3 number systems register transferrashidxasan369
The document discusses number systems and conversions between different bases. It covers binary, decimal, octal and hexadecimal number systems. Several examples are provided to demonstrate how to convert between different bases using techniques like dividing by the base, tracking remainders, and grouping bits. Conversions covered include decimal to binary, binary to decimal, decimal to octal, octal to decimal, and others between the common number systems. Binary operations like addition and multiplication are also demonstrated with 1-bit and n-bit values.
This document introduces different number systems including binary, octal, decimal, and hexadecimal. It discusses the base, symbols used, and how to convert between these number systems. Conversion is done by multiplying place values according to the base and adding the results. Common powers that are used in computing are also defined in terms of base 2 rather than base 10. The document concludes with discussions of binary addition, multiplication, complement representation, and how complement allows for subtraction using addition operations.
Bca 2nd sem u-1.1 digital logic circuits, digital component floting and fixed...Rai University
This document provides an overview of common number systems used in computers such as binary, decimal, octal and hexadecimal. It discusses how to represent and convert between different numeric bases. Key topics covered include:
- The number systems used by humans versus computers
- Representing quantities in different bases using tables
- Techniques for converting between binary, decimal, octal and hexadecimal
- Working with fractions and representing decimal numbers in binary
- Common powers of 2 and 10 used in computing
The document is intended as a reference for a course on computer organization and architecture, covering digital logic circuits and data representation.
B.sc cs-ii -u-1.1 digital logic circuits, digital component floting and fixed...Rai University
This document provides an overview of common number systems and techniques for converting between decimal, binary, octal, and hexadecimal number bases. It discusses how quantities are represented and counted in each base system. Methods for addition, multiplication, and conversion between the different bases are presented for both single and multi-bit numbers. Common powers and fractions are also covered, showing how values are represented in decimal and binary. Exercises provide examples of converting values between the number bases.
The document provides information on digital and analog signals, different number systems used in computing including binary, octal, decimal and hexadecimal. It explains:
- Digital signals have discrete amplitude values of 0V and 5V, while analog signals can have any amplitude value.
- Number systems like binary, octal and hexadecimal are used in computing to represent values using discrete digits. Conversion between number systems involves place value weighting.
- Binary uses two digits 0 and 1. Octal uses eight digits 0-7. Hexadecimal uses sixteen digits and letters 0-9 and A-F. Conversion between number systems and decimal is done by successive multiplication or division.
This presentation will help you with the current status of numbers, their conversions and things which it governs on and things which is totally dependent on numbers like our personal computers, etc.
This document provides a syllabus for a course on Digital Logic Design (DLD). It includes:
- The course instructor's name and details.
- A list of textbooks and online resources for the course.
- The course outcomes, which are to identify digital logic concepts, simplify Boolean expressions, design data processing circuits, and design sequential circuits.
- An outline of the course units, which cover basic logic circuits, number systems, Boolean algebra, circuit implementation, and sequential circuits.
The document provides an overview of the topics, resources, and goals of the DLD course.
Logic Circuits Design - "Chapter 1: Digital Systems and Information"Ra'Fat Al-Msie'deen
Logic Circuits Design: This material is based on chapter 1 of “Logic and Computer Design Fundamentals” by M. Morris Mano, Charles R. Kime and Tom Martin
This document provides an overview of the Digital System Design course. It lists the topics that will be covered, including introduction to digital systems, combinational and sequential logic design, register-transfer level design, and physical implementation. The course learning outcomes are also stated as analyzing and designing advanced combinational and sequential logic systems, and designing digital systems in a hierarchical and top-down manner using register-transfer logic. The document outlines some rules for the course regarding attendance, assignments, and communication with the instructor.
This document provides information about the Digital System Design course offered at Government Engineering College Raipur. The course code is B000313(028) and it is a 4 credit course taught over 3 lectures and 1 tutorial per week. The course aims to teach students to design, analyze, and interpret combinational and sequential circuits. It covers topics like Boolean algebra, minimization techniques, combinational circuits, sequential circuits, and digital logic families. The document lists 5 expected learning outcomes and provides a brief overview of the topics to be covered in each of the 5 units. It also mentions the relevant textbooks.
Digital Electronics is subject of Coputer, I.T., Electrical and Electronics Branch.
Number system is most important topic. Number system in various types of conversation e.g. binary, octal, decimal, hexadecimal.
The document discusses different number systems used in computers such as binary, decimal, octal and hexadecimal. It provides examples and techniques for converting between these number systems. The key number systems covered are binary, which uses two digits (0 and 1), and is used in computers, decimal which uses 10 digits and is used in everyday life, octal which uses 8 digits, and hexadecimal which uses 16 digits and letters A-F. The document also discusses techniques for converting fractions between decimal and binary.
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMSIJNSA Journal
The smart irrigation system represents an innovative approach to optimize water usage in agricultural and landscaping practices. The integration of cutting-edge technologies, including sensors, actuators, and data analysis, empowers this system to provide accurate monitoring and control of irrigation processes by leveraging real-time environmental conditions. The main objective of a smart irrigation system is to optimize water efficiency, minimize expenses, and foster the adoption of sustainable water management methods. This paper conducts a systematic risk assessment by exploring the key components/assets and their functionalities in the smart irrigation system. The crucial role of sensors in gathering data on soil moisture, weather patterns, and plant well-being is emphasized in this system. These sensors enable intelligent decision-making in irrigation scheduling and water distribution, leading to enhanced water efficiency and sustainable water management practices. Actuators enable automated control of irrigation devices, ensuring precise and targeted water delivery to plants. Additionally, the paper addresses the potential threat and vulnerabilities associated with smart irrigation systems. It discusses limitations of the system, such as power constraints and computational capabilities, and calculates the potential security risks. The paper suggests possible risk treatment methods for effective secure system operation. In conclusion, the paper emphasizes the significant benefits of implementing smart irrigation systems, including improved water conservation, increased crop yield, and reduced environmental impact. Additionally, based on the security analysis conducted, the paper recommends the implementation of countermeasures and security approaches to address vulnerabilities and ensure the integrity and reliability of the system. By incorporating these measures, smart irrigation technology can revolutionize water management practices in agriculture, promoting sustainability, resource efficiency, and safeguarding against potential security threats.
Embedded machine learning-based road conditions and driving behavior monitoringIJECEIAES
Car accident rates have increased in recent years, resulting in losses in human lives, properties, and other financial costs. An embedded machine learning-based system is developed to address this critical issue. The system can monitor road conditions, detect driving patterns, and identify aggressive driving behaviors. The system is based on neural networks trained on a comprehensive dataset of driving events, driving styles, and road conditions. The system effectively detects potential risks and helps mitigate the frequency and impact of accidents. The primary goal is to ensure the safety of drivers and vehicles. Collecting data involved gathering information on three key road events: normal street and normal drive, speed bumps, circular yellow speed bumps, and three aggressive driving actions: sudden start, sudden stop, and sudden entry. The gathered data is processed and analyzed using a machine learning system designed for limited power and memory devices. The developed system resulted in 91.9% accuracy, 93.6% precision, and 92% recall. The achieved inference time on an Arduino Nano 33 BLE Sense with a 32-bit CPU running at 64 MHz is 34 ms and requires 2.6 kB peak RAM and 139.9 kB program flash memory, making it suitable for resource-constrained embedded systems.
2. Rana Mukherji
M.Tech. (Instrumentation) ,Panjab University, Chandigarh, yr 2004
Experience Around 7.5 years
Area of Interest includes Reconfigurable Computing & VLSI
Design
Professional Memberships : VLSI Society of India, Bangalore
World SystemC Community, LA
Paper Published in Conferences/ Journals – 20 Including 1 paper in
IEEE Computer Society Journal
Achievement – Rastrapati Scout Award Winner,
Won Best Paper Award at International Conference on Systemics,
Cybernetics and Informatics, Hyderabad, INDIA
4. Inside the CPU
• Registers – used for storing data values and addresses
• Control Unit (CU) – coordinates the sequencing of steps
involved in executing machine instructions
• Arithmetic Logic Unit (ALU) - performs arithmetic and
logical operations
• Clock – synchronizes the internal operations of the CPU
with the other system components
5. Bus Structure
• Bus - a group of parallel wires that transfer information
from one part of the computer to another.
– Control Bus – synchronizes the actions of all of the
devices attached to the system bus.
– Address Bus – passes the addresses of instructions and
data between the CPU and memory (or I/O).
– Data Bus – transfers instructions and data between the
CPU and memory (or I/O).
6. Instruction Execution Cycle
• The execution of a single machine instruction can be
divided into a sequence of individual operations called the
instruction execution cycle. Before executing, a program is
loaded into memory.
• The instruction pointer contains the address of the next
instruction. The instruction queue holds a group of
instructions about to be executed. Executing a machine
instruction requires three basic steps: fetch, decode and
execute
• Two more steps are required when the instruction uses a
memory operand: fetch operand and store output operand
7. Execution Cycle
• Fetch: The control unit fetches the instruction from the
instruction queue and increments the instruction pointer
(IP). The instruction pointer is also known as the program
counter.
• Decode: The control unit decodes the instruction’s
function to determine what the instruction will do. The
instruction’s input operands are passed to the arithmetic
logic unit (ALU), and signals are sent to the ALU
indicating the operation to be performed.
• Fetch operands: If the instruction uses an input operand
located in memory, the control unit uses a read operation to
retrieve the operand and copy it into internal registers.
Internal registers are not visible to user programs.
8. • Execute: The ALU executes the instruction using the
named registers and internal registers as operands and
sends the output to named registers and/or memory. The
ALU updates status flags providing information about the
processor state.
• Store output operand: If the output operand is in memory,
the control unit uses a write operation to store the data.
9. System Block Diagram
System bus (data, address & control signals)
Memory
Interrupt circuitrySerial I/OParallel I/O
Timing CPU
P +
associated
logic
circuitry:
•Bus controller
•Bus drivers
•Coprocessor
•ROM (Read Only Memory) (start-up
program)
•RAM (Random Access Memory)
•DRAM (Dynamic RAM) - high capacity,
refresh needed
•SRAM (Static RAM) - low power, fast,
easy to interface
•Crystal oscillator
•Timing circuitry
(counters dividing to
lower frequencies)
At external unexpected events, P
has to interrupt the main program
execution, service the interrupt
request (obviously a short
subroutine) and retake the main
program from the point where it
was interrupt.
Simple (only two wires
+ ground) but slow.
•Printer (low resolution)
•Modem
•Operator’s console
•Mainframe
•Personal computer
Many wires, fast.
•Printer (high resolution)
•External memory
•Floppy Disk
•Hard Disk
•Compact Disk
•Other high speed devices
11. Common Computer
Number System
System Base Symbols
Used by
humans?
Used in
computers?
Decimal 10 0, 1, … 9 Yes No
Binary 2 0, 1 No Yes
Octal 8 0, 1, … 7 No No
Hexa-
decimal
16 0, 1, … 9,
A, B, … F
No No
20. Binary to Decimal
• Technique
– Multiply each bit by 2n, where n is the
“weight” of the bit
– The weight is the position of the bit,
starting from 0 on the right
– Add the results
21. Example
1010112 => 1 x 20 = 1
1 x 21 = 2
0 x 22 = 0
1 x 23 = 8
0 x 24 = 0
1 x 25 = 32
4310
Bit “0”
23. Octal to Decimal
• Technique
– Multiply each bit by 8n, where n is the
“weight” of the bit
– The weight is the position of the bit,
starting from 0 on the right
– Add the results
26. Hexadecimal to Decimal
• Technique
– Multiply each bit by 16n, where n is the
“weight” of the bit
– The weight is the position of the bit,
starting from 0 on the right
– Add the results
27. Example
ABC16 => C x 160 = 12 x 1 = 12
B x 161 = 11 x 16 = 176
A x 162 = 10 x 256 = 2560
274810
29. Decimal to Binary
• Technique
– Divide by two, keep track of the
remainder
– First remainder is bit 0 (LSB, least-
significant bit)
– Second remainder is bit 1
– Etc.
67. Rana Mukherji
EXTERNAL
REPRESENTATION
Decimal BCD Code
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
8 1000
9 1001
Numbers
Most of numbers stored in the computer are eventually changed
by some kinds of calculations
→ Internal Representation for calculation efficiency
→ Final results need to be converted to as External Representation
for presentability
Alphabets, Symbols, and some Numbers
Elements of these information do not change in the course of processing
→ No needs for Internal Representation since they are not used
for calculations
→ External Representation for processing and presentability
Example
Decimal Number: 4-bit Binary Code
BCD(Binary Coded Decimal)
68. Rana Mukherji
OTHER DECIMAL CODES
Decimal BCD(8421) 2421 84-2-1 Excess-3
0 0000 0000 0000 0011
1 0001 0001 0111 0100
2 0010 0010 0110 0101
3 0011 0011 0101 0110
4 0100 0100 0100 0111
5 0101 1011 1011 1000
6 0110 1100 1010 1001
7 0111 1101 1001 1010
8 1000 1110 1000 1011
9 1001 1111 1111 1100 d3 d2 d1 d0: symbol in the codes
BCD: d3 x 8 + d2 x 4 + d1 x 2 + d0 x 1
8421 code.
2421: d3 x 2 + d2 x 4 + d1 x 2 + d0 x 1
84-2-1: d3 x 8 + d2 x 4 + d1 x (-2) + d0 x (-1)
Excess-3: BCD + 3
Note: 8,4,2,-2,1,-1 in this table is the weight
associated with each bit position.
BCD: It is difficult to obtain the 9's complement.
However, it is easily obtained with the other codes listed above.
→ Self-complementing codes
72. Rana Mukherji
GRAY CODE - ANALYSIS
Letting gngn-1 ... g1 g0 be the (n+1)-bit Gray code
for the binary number bnbn-1 ... b1b0
gi = bi bi+1 , 0 i n-1
gn = bn
and
bn-i = gn gn-1 . . . gn-i
bn = gn
73. Rana Mukherji
CHARACTER REPRESENTATION
ASCIIASCII (American Standard Code for Information Interchange) Code
Other Binary codes
0
1
2
3
4
5
6
7
8
9
A
B
C
D
E
F
NUL
SOH
STX
ETX
EOT
ENQ
ACK
BEL
BS
HT
LF
VT
FF
CR
SO
SI
SP
!
“
#
$
%
&
‘
(
)
*
+
,
-
.
/
0
1
2
3
4
5
6
7
8
9
:
;
<
=
>
?
@
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
[
]
m
n
‘
a
b
c
d
e
f
g
h
I
j
k
l
m
n
o
P
q
r
s
t
u
v
w
x
y
z
{
|
}
~
DEL
0 1 2 3 4 5 6 7
DLE
DC1
DC2
DC3
DC4
NAK
SYN
ETB
CAN
EM
SUB
ESC
FS
GS
RS
US
LSB
(4 bits)
MSB (3 bits)
74. Rana Mukherji
CONTROL CHARACTER REPRESENTAION
(ASCII)
NUL Null
SOH Start of Heading (CC)
STX Start of Text (CC)
ETX End of Text (CC)
EOT End of Transmission (CC)
ENQ Enquiry (CC)
ACK Acknowledge (CC)
BEL Bell
BS Backspace (FE)
HT Horizontal Tab. (FE)
LF Line Feed (FE)
VT Vertical Tab. (FE)
FF Form Feed (FE)
CR Carriage Return (FE)
SO Shift Out
SI Shift In
DLE Data Link Escape (CC)
(CC) Communication Control
(FE) Format Effector
(IS) Information Separator
DC1 Device Control 1
DC2 Device Control 2
DC3 Device Control 3
DC4 Device Control 4
NAK Negative Acknowledge (CC)
SYN Synchronous Idle (CC)
ETB End of Transmission Block (CC)
CAN Cancel
EM End of Medium
SUB Substitute
ESC Escape
FS File Separator (IS)
GS Group Separator (IS)
RS Record Separator (IS)
US Unit Separator (IS)
DEL Delete
75. Rana Mukherji
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
76. Rana Mukherji
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
Most significant bit
Least significant bit
77. Rana Mukherji
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
e.g., ‘a’ = 1100001
78. Rana Mukherji
95 Graphic codes
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
79. Rana Mukherji
33 Control codes
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
80. Rana Mukherji
Alphabetic codes
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
81. Rana Mukherji
Numeric codes
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
82. Rana Mukherji
000 001 010 011 100 101 110 111
0000 NULL DLE 0 @ P ` p
0001 SOH DC1 ! 1 A Q a q
0010 STX DC2 " 2 B R b r
0011 ETX DC3 # 3 C S c s
0100 EDT DC4 $ 4 D T d t
0101 ENQ NAK % 5 E U e u
0110 ACK SYN & 6 F V f v
0111 BEL ETB ' 7 G W g w
1000 BS CAN ( 8 H X h x
1001 HT EM ) 9 I Y i y
1010 LF SUB * : J Z j z
1011 VT ESC + ; K [ k {
1100 FF FS , < L l |
1101 CR GS - = M ] m }
1110 SO RS . > N ^ n ~
1111 SI US / ? O _ o DEL
Punctuation, etc.
83. Rana Mukherji
“Hello, world” Example
=
=
=
=
=
=
=
=
=
=
=
=
Binary
01001000
01100101
01101100
01101100
01101111
00101100
00100000
01110111
01100111
01110010
01101100
01100100
Hexadecimal
48
65
6C
6C
6F
2C
20
77
67
72
6C
64
Decimal
72
101
108
108
111
44
32
119
103
114
108
100
H
e
l
l
o
,
w
o
r
l
d
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
84. END of Chapter 1
Next we begin with
Digital Logic Devices for
Microprocessor System
Designs