Ch02_Number_system_decimal_octal_Binary_hex.ppt
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DIGITAL ELECTRONICS
This document provides an overview of different number systems used in digital electronics, including decimal, binary, hexadecimal, and octal. It discusses place value, conversion methods between number systems, and electronic encoding and decoding devices. Key topics covered include counting and place value in binary, techniques for converting between binary and decimal, hexadecimal number representation using 16 symbols, and the use of calculators to perform number system conversions.
Number system
Digital Electronics discusses different number systems including binary, decimal, hexadecimal, and octal. It explains how to convert between these number systems using various methods like place value, division, and electronic translators. Electronic encoders and decoders are integrated circuits that can translate between binary and decimal representations.
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This document discusses different number systems used in digital electronics including decimal, binary, hexadecimal, and octal. It provides instructions on how to convert between these number systems. Key points covered include:
- Place value and how it is used in binary conversions
- Methods for converting binary to decimal and decimal to binary
- Hexadecimal and octal number systems and how they relate to binary and decimal
- Electronic translators that can convert between decimal and binary
- Using a scientific calculator to perform conversions between number systems is suggested as a practical tool.
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This document discusses representation of binary numbers and binary codes. It covers:
- Unsigned and signed binary number representation including sign-magnitude and 1's/2's complement forms.
- Binary coded decimal (BCD) which assigns a 4-bit code to each decimal digit from 0-9. BCD is useful for digital displays that show decimal numbers.
- Excess-3 code which adds 3 to each decimal digit before converting to binary.
- Gray code which increments only one bit at a time to avoid errors during counting. Conversion between binary and gray code is covered.
Conclusion in this titty tittle 106_1.ppt
The document discusses the history and evolution of electronics from vacuum tubes to integrated circuits. It begins with the invention of the bipolar transistor in 1947 by Bardeen, Brattain, and Shockley at Bell Labs. Over the following decades, major milestones included the development of the integrated circuit in 1958 and the first microprocessor in 1971. The proliferation of electronics has accelerated, with the number of transistors doubling every year for the past 20 years. Digital electronics representations and number systems such as binary, hexadecimal, and octal are also covered.
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This document discusses different coding systems used to represent numeric and alphanumeric characters in computers. It provides details on Binary Coded Decimal (BCD), American Standard Code for Information Interchange (ASCII), Extended Binary Coded Decimal Interchange Code (EBCDIC), Gray code, and Excess-3 code. It also gives examples and step-by-step processes for converting between binary, BCD, Excess-3, and decimal number systems.
Unit-1.pptx
This document provides an overview of digital electronics concepts including:
1. Digital electronics deals with digital signals that have two discrete levels or values represented as HIGH and LOW. Positive and negative logic systems represent these levels differently.
2. Boolean algebra uses binary variables of 0 and 1 with operations like AND, OR, and NOT. It enables simplifying digital circuits.
3. Basic logic gates like AND, OR, and NOT are used to perform logic operations on binary inputs. NAND and NOR gates are universal gates. XOR and XNOR gates perform equivalence operations.
4. Number systems like binary, octal, hexadecimal, and decimal are discussed along with conversions between them using methods like division, multiplication
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This document provides an overview of different number systems, including binary, octal, decimal, and hexadecimal. It discusses the characteristics of numbering systems, significant digits, and how to convert between different bases using algorithms like division and multiplication. Specifically, it explains how to convert a decimal number to its binary, octal, or hexadecimal equivalent and vice versa. The document also covers binary addition and complements, describing how 1's and 2's complements are used to represent negative numbers in binary and perform subtraction through addition.
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This document provides an overview of different number systems used in digital electronics, including decimal, binary, hexadecimal, and octal. It discusses place value, conversion methods between number systems, and electronic encoding and decoding devices. Key topics covered include counting and place value in binary, techniques for converting between binary and decimal, hexadecimal number representation using 16 symbols, and the use of calculators to perform number system conversions.
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Digital Electronics discusses different number systems including binary, decimal, hexadecimal, and octal. It explains how to convert between these number systems using various methods like place value, division, and electronic translators. Electronic encoders and decoders are integrated circuits that can translate between binary and decimal representations.
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This document discusses different number systems used in digital electronics including decimal, binary, hexadecimal, and octal. It provides instructions on how to convert between these number systems. Key points covered include:
- Place value and how it is used in binary conversions
- Methods for converting binary to decimal and decimal to binary
- Hexadecimal and octal number systems and how they relate to binary and decimal
- Electronic translators that can convert between decimal and binary
- Using a scientific calculator to perform conversions between number systems is suggested as a practical tool.
12.Representation of signed binary numbers. Binary codes - BCD code, Gray co...
This document discusses representation of binary numbers and binary codes. It covers:
- Unsigned and signed binary number representation including sign-magnitude and 1's/2's complement forms.
- Binary coded decimal (BCD) which assigns a 4-bit code to each decimal digit from 0-9. BCD is useful for digital displays that show decimal numbers.
- Excess-3 code which adds 3 to each decimal digit before converting to binary.
- Gray code which increments only one bit at a time to avoid errors during counting. Conversion between binary and gray code is covered.
Conclusion in this titty tittle 106_1.ppt
The document discusses the history and evolution of electronics from vacuum tubes to integrated circuits. It begins with the invention of the bipolar transistor in 1947 by Bardeen, Brattain, and Shockley at Bell Labs. Over the following decades, major milestones included the development of the integrated circuit in 1958 and the first microprocessor in 1971. The proliferation of electronics has accelerated, with the number of transistors doubling every year for the past 20 years. Digital electronics representations and number systems such as binary, hexadecimal, and octal are also covered.
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This document discusses different coding systems used to represent numeric and alphanumeric characters in computers. It provides details on Binary Coded Decimal (BCD), American Standard Code for Information Interchange (ASCII), Extended Binary Coded Decimal Interchange Code (EBCDIC), Gray code, and Excess-3 code. It also gives examples and step-by-step processes for converting between binary, BCD, Excess-3, and decimal number systems.
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This document provides an overview of digital electronics concepts including:
1. Digital electronics deals with digital signals that have two discrete levels or values represented as HIGH and LOW. Positive and negative logic systems represent these levels differently.
2. Boolean algebra uses binary variables of 0 and 1 with operations like AND, OR, and NOT. It enables simplifying digital circuits.
3. Basic logic gates like AND, OR, and NOT are used to perform logic operations on binary inputs. NAND and NOR gates are universal gates. XOR and XNOR gates perform equivalence operations.
4. Number systems like binary, octal, hexadecimal, and decimal are discussed along with conversions between them using methods like division, multiplication
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This document provides an overview of different number systems, including binary, octal, decimal, and hexadecimal. It discusses the characteristics of numbering systems, significant digits, and how to convert between different bases using algorithms like division and multiplication. Specifically, it explains how to convert a decimal number to its binary, octal, or hexadecimal equivalent and vice versa. The document also covers binary addition and complements, describing how 1's and 2's complements are used to represent negative numbers in binary and perform subtraction through addition.
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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.
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Output of an IP system is a program in some arbitrary programming language containing conditionals and loop or recursive control structures, or any other kind of Turing-complete representation language.
In many applications the output program must be correct with respect to the examples and partial specification, and this leads to the consideration of inductive programming as a special area inside automatic programming or program synthesis, usually opposed to 'deductive' program synthesis, where the specification is usually complete.
In other cases, inductive programming is seen as a more general area where any declarative programming or representation language can be used and we may even have some degree of error in the examples, as in general machine learning, the more specific area of structure mining or the area of symbolic artificial intelligence. A distinctive feature is the number of examples or partial specification needed. Typically, inductive programming techniques can learn from just a few examples.
The diversity of inductive programming usually comes from the applications and the languages that are used: apart from logic programming and functional programming, other programming paradigms and representation languages have been used or suggested in inductive programming, such as functional logic programming, constraint
programming, probabilistic programming
Research on the inductive synthesis of recursive functional programs started in the early 1970s and was brought onto firm theoretical foundations with the seminal THESIS system of Summers[6] and work of Biermann.[7] These approaches were split into two phases: first, input-output examples are transformed into non-recursive programs (traces) using a small set of basic operators; second, regularities in the traces are searched for and used to fold them into a recursive program. The main results until the mid 1980s are surveyed by Smith.[8] Due to
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This document provides an overview of digital electronics and number systems. It discusses common number systems like decimal, binary, octal and hexadecimal. It then covers techniques for converting between these different number systems, including dividing or multiplying by the base to get place values. Binary operations like addition and multiplication are also explained. Fractions in different number systems are described at the end.
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- Different number systems including binary, decimal, octal and hexadecimal. Methods to convert between these systems are described.
- Digital electronics uses discrete voltage levels (0V and 5V) to represent binary digits (0 and 1). Timing diagrams show the relationship between digital signals over time.
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Digital systems use discrete binary values of 0s and 1s rather than continuous values. The binary number system represents numbers using a base-2 system with two digits: 0 and 1. Decimal, octal, and hexadecimal systems can be converted to and from the binary system using tables or repeated division/multiplication operations. Binary subtraction is performed using 1's or 2's complement representations of negative numbers, which involve inverting and adding 1. Digital circuits employ these binary representations and arithmetic operations to perform computations.
5a data representation
1. Data in computers is represented using binary numbers consisting of 0s and 1s. Common number systems used are binary, decimal, octal and hexadecimal.
2. Decimal numbers use base 10 with digits 0-9. Binary uses base 2 with digits 0-1. Octal uses base 8 with digits 0-7. Hexadecimal uses base 16 with digits 0-9 and A-F.
3. Converting between number systems involves dividing or multiplying by the base. Integer and fractional parts are handled separately.
Number system utm notes
The document discusses various number systems used in digital electronics including decimal, binary, hexadecimal, and octal number systems. It provides details on how decimal, binary, and hexadecimal numbers are represented and converted between number systems. Various methods for converting between decimal, binary, hexadecimal, and octal numbers are presented including the sum-of-weights method and division/multiplication methods. The use of binary coded decimal codes for easier conversion between decimal and binary numbers is also covered.
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This document provides an overview of data representation in computers. It discusses binary, decimal, hexadecimal, and floating point number systems. Binary numbers use only two digits, 0 and 1, and can represent values as sums of powers of two. Decimal uses ten digits from 0-9. Hexadecimal uses sixteen values from 0-9 and A-F. Negative binary integers can be represented using ones' complement or twos' complement methods. Twos' complement avoids multiple representations of zero and is commonly used in computers. Converting between number bases involves expressing the value in one base using the digits of another.
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1.What is number system?
2.Conversions of number from one radix to another
3.Complements (1's, 2's, 9's, 10's)
4.Binary Arithmetic ( Addition, subtraction, multiplication, division)
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IoU of 98.620%, and a Boundary F1 (BF) score of 83.303%. Notably, a detailed comparative analysis with existing methods showcases the superiority of
our proposed model. These findings underscore the model’s competence in precise brain tumor localization, underscoring its potential to revolutionize medical
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This document provides an overview of digital electronics and number systems. It discusses common number systems like decimal, binary, octal and hexadecimal. It then covers techniques for converting between these different number systems, including dividing or multiplying by the base to get place values. Binary operations like addition and multiplication are also explained. Fractions in different number systems are described at the end.
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2. Decimal numbers use base 10 with digits 0-9. Binary uses base 2 with digits 0-1. Octal uses base 8 with digits 0-7. Hexadecimal uses base 16 with digits 0-9 and A-F.
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The document discusses various number systems used in digital electronics including decimal, binary, hexadecimal, and octal number systems. It provides details on how decimal, binary, and hexadecimal numbers are represented and converted between number systems. Various methods for converting between decimal, binary, hexadecimal, and octal numbers are presented including the sum-of-weights method and division/multiplication methods. The use of binary coded decimal codes for easier conversion between decimal and binary numbers is also covered.
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3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
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6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
As digital technology becomes more deeply embedded in power systems, protecting the communication
networks of Smart Grids (SG) has emerged as a critical concern. Distributed Network Protocol 3 (DNP3)
represents a multi-tiered application layer protocol extensively utilized in Supervisory Control and Data
Acquisition (SCADA)-based smart grids to facilitate real-time data gathering and control functionalities.
Robust Intrusion Detection Systems (IDS) are necessary for early threat detection and mitigation because
of the interconnection of these networks, which makes them vulnerable to a variety of cyberattacks. To
solve this issue, this paper develops a hybrid Deep Learning (DL) model specifically designed for intrusion
detection in smart grids. The proposed approach is a combination of the Convolutional Neural Network
(CNN) and the Long-Short-Term Memory algorithms (LSTM). We employed a recent intrusion detection
dataset (DNP3), which focuses on unauthorized commands and Denial of Service (DoS) cyberattacks, to
train and test our model. The results of our experiments show that our CNN-LSTM method is much better
at finding smart grid intrusions than other deep learning algorithms used for classification. In addition,
our proposed approach improves accuracy, precision, recall, and F1 score, achieving a high detection
accuracy rate of 99.50%.
Generative AI Use cases applications solutions and implementation.pdf
Generative AI solutions encompass a range of capabilities from content creation to complex problem-solving across industries. Implementing generative AI involves identifying specific business needs, developing tailored AI models using techniques like GANs and VAEs, and integrating these models into existing workflows. Data quality and continuous model refinement are crucial for effective implementation. Businesses must also consider ethical implications and ensure transparency in AI decision-making. Generative AI's implementation aims to enhance efficiency, creativity, and innovation by leveraging autonomous generation and sophisticated learning algorithms to meet diverse business challenges.
https://www.leewayhertz.com/generative-ai-use-cases-and-applications/
Comparative analysis between traditional aquaponics and reconstructed aquapon...
The aquaponic system of planting is a method that does not require soil usage. It is a method that only needs water, fish, lava rocks (a substitute for soil), and plants. Aquaponic systems are sustainable and environmentally friendly. Its use not only helps to plant in small spaces but also helps reduce artificial chemical use and minimizes excess water use, as aquaponics consumes 90% less water than soil-based gardening. The study applied a descriptive and experimental design to assess and compare conventional and reconstructed aquaponic methods for reproducing tomatoes. The researchers created an observation checklist to determine the significant factors of the study. The study aims to determine the significant difference between traditional aquaponics and reconstructed aquaponics systems propagating tomatoes in terms of height, weight, girth, and number of fruits. The reconstructed aquaponics system’s higher growth yield results in a much more nourished crop than the traditional aquaponics system. It is superior in its number of fruits, height, weight, and girth measurement. Moreover, the reconstructed aquaponics system is proven to eliminate all the hindrances present in the traditional aquaponics system, which are overcrowding of fish, algae growth, pest problems, contaminated water, and dead fish.
Prediction of Electrical Energy Efficiency Using Information on Consumer's Ac...
Energy efficiency has been important since the latter part of the last century. The main object of this survey is to determine the energy efficiency knowledge among consumers. Two separate districts in Bangladesh are selected to conduct the survey on households and showrooms about the energy and seller also. The survey uses the data to find some regression equations from which it is easy to predict energy efficiency knowledge. The data is analyzed and calculated based on five important criteria. The initial target was to find some factors that help predict a person's energy efficiency knowledge. From the survey, it is found that the energy efficiency awareness among the people of our country is very low. Relationships between household energy use behaviors are estimated using a unique dataset of about 40 households and 20 showrooms in Bangladesh's Chapainawabganj and Bagerhat districts. Knowledge of energy consumption and energy efficiency technology options is found to be associated with household use of energy conservation practices. Household characteristics also influence household energy use behavior. Younger household cohorts are more likely to adopt energy-efficient technologies and energy conservation practices and place primary importance on energy saving for environmental reasons. Education also influences attitudes toward energy conservation in Bangladesh. Low-education households indicate they primarily save electricity for the environment while high-education households indicate they are motivated by environmental concerns.
VARIABLE FREQUENCY DRIVE. VFDs are widely used in industrial applications for...
Variable frequency drive .A Variable Frequency Drive (VFD) is an electronic device used to control the speed and torque of an electric motor by varying the frequency and voltage of its power supply. VFDs are widely used in industrial applications for motor control, providing significant energy savings and precise motor operation.
Computational Engineering IITH Presentation
This Presentation will give you a brief idea about what Computational Engineering at IIT Hyderabad has to offer.
Optimizing Gradle Builds - Gradle DPE Tour Berlin 2024
Sinan from the Delivery Hero mobile infrastructure engineering team shares a deep dive into performance acceleration with Gradle build cache optimizations. Sinan shares their journey into solving complex build-cache problems that affect Gradle builds. By understanding the challenges and solutions found in our journey, we aim to demonstrate the possibilities for faster builds. The case study reveals how overlapping outputs and cache misconfigurations led to significant increases in build times, especially as the project scaled up with numerous modules using Paparazzi tests. The journey from diagnosing to defeating cache issues offers invaluable lessons on maintaining cache integrity without sacrificing functionality.
Rainfall intensity duration frequency curve statistical analysis and modeling...
Using data from 41 years in Patna’ India’ the study’s goal is to analyze the trends of how often it rains on a weekly, seasonal, and annual basis (1981−2020). First, utilizing the intensity-duration-frequency (IDF) curve and the relationship by statistically analyzing rainfall’ the historical rainfall data set for Patna’ India’ during a 41 year period (1981−2020), was evaluated for its quality. Changes in the hydrologic cycle as a result of increased greenhouse gas emissions are expected to induce variations in the intensity, length, and frequency of precipitation events. One strategy to lessen vulnerability is to quantify probable changes and adapt to them. Techniques such as log-normal, normal, and Gumbel are used (EV-I). Distributions were created with durations of 1, 2, 3, 6, and 24 h and return times of 2, 5, 10, 25, and 100 years. There were also mathematical correlations discovered between rainfall and recurrence interval.
Findings: Based on findings, the Gumbel approach produced the highest intensity values, whereas the other approaches produced values that were close to each other. The data indicates that 461.9 mm of rain fell during the monsoon season’s 301st week. However, it was found that the 29th week had the greatest average rainfall, 92.6 mm. With 952.6 mm on average, the monsoon season saw the highest rainfall. Calculations revealed that the yearly rainfall averaged 1171.1 mm. Using Weibull’s method, the study was subsequently expanded to examine rainfall distribution at different recurrence intervals of 2, 5, 10, and 25 years. Rainfall and recurrence interval mathematical correlations were also developed. Further regression analysis revealed that short wave irrigation, wind direction, wind speed, pressure, relative humidity, and temperature all had a substantial influence on rainfall.
Originality and value: The results of the rainfall IDF curves can provide useful information to policymakers in making appropriate decisions in managing and minimizing floods in the study area.
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
原版一模一样【微信：741003700 】【美国波士顿大学毕业证学历学位证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
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留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
Null Bangalore | Pentesters Approach to AWS IAM
#Abstract:
- Learn more about the real-world methods for auditing AWS IAM (Identity and Access Management) as a pentester. So let us proceed with a brief discussion of IAM as well as some typical misconfigurations and their potential exploits in order to reinforce the understanding of IAM security best practices.
- Gain actionable insights into AWS IAM policies and roles, using hands on approach.
#Prerequisites:
- Basic understanding of AWS services and architecture
- Familiarity with cloud security concepts
- Experience using the AWS Management Console or AWS CLI.
- For hands on lab create account on [killercoda.com](https://killercoda.com/cloudsecurity-scenario/)
# Scenario Covered:
- Basics of IAM in AWS
- Implementing IAM Policies with Least Privilege to Manage S3 Bucket
- Objective: Create an S3 bucket with least privilege IAM policy and validate access.
- Steps:
- Create S3 bucket.
- Attach least privilege policy to IAM user.
- Validate access.
- Exploiting IAM PassRole Misconfiguration
-Allows a user to pass a specific IAM role to an AWS service (ec2), typically used for service access delegation. Then exploit PassRole Misconfiguration granting unauthorized access to sensitive resources.
- Objective: Demonstrate how a PassRole misconfiguration can grant unauthorized access.
- Steps:
- Allow user to pass IAM role to EC2.
- Exploit misconfiguration for unauthorized access.
- Access sensitive resources.
- Exploiting IAM AssumeRole Misconfiguration with Overly Permissive Role
- An overly permissive IAM role configuration can lead to privilege escalation by creating a role with administrative privileges and allow a user to assume this role.
- Objective: Show how overly permissive IAM roles can lead to privilege escalation.
- Steps:
- Create role with administrative privileges.
- Allow user to assume the role.
- Perform administrative actions.
- Differentiation between PassRole vs AssumeRole
Try at [killercoda.com](https://killercoda.com/cloudsecurity-scenario/)
Mechanical Engineering on AAI Summer Training Report-003.pdf
Mechanical Engineering PROJECT REPORT ON SUMMER VOCATIONAL TRAINING
AT MBB AIRPORT
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Ch02_Number_system_decimal_octal_Binary_hex.ppt
- 1. Digital Electronics Principles & Applications Fifth Edition Chapter 2 Numbers We Use in Digital Electronics ©1999 Glencoe/McGraw-Hill Roger L. Tokheim
- 2. CHAPTER 2 PREVIEW • Counting in Decimal and Binary • Place Value • Binary to Decimal Conversion • Decimal to Binary Conversion • Electronic Translators • Hexadecimal Numbers • Octal Numbers
- 3. COUNTING IN DECIMAL AND BINARY • Number System - Code using symbols that refer to a number of items. • Decimal Number System - Uses ten symbols (base 10 system) • Binary System - Uses two symbols (base 2 system)
- 4. PLACE VALUE • Numeric value of symbols in different positions. • Example - Place value in binary system: Binary 8s 4s 2s 1s Number Place Value Yes Yes No No 1 0 0 1 RESULT: Binary 1100 = decimal 8 + 4 + 0 + 0 = decimal 12
- 5. BINARY TO DECIMAL CONVERSION Convert Binary Number 110011 to a Decimal Number: 32 + 16 + 0 + 0 + 2 + 1 = 51 1 1 0 0 1 1 Decimal Binary
- 6. TEST Convert the following binary numbers into decimal numbers: Binary 1001 = 9 Binary 1111 = Binary 0010 = 15 2
- 7. DECIMAL TO BINARY CONVERSION Divide by 2 Process Decimal # 13 ÷ 2 = 6 remainder 1 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 1 1 0 1
- 8. TEST Convert the following decimal numbers into binary: Decimal 11 = Decimal 4 = Decimal 17 = 1011 0100 10001
- 9. ELECTRONIC TRANSLATORS Devices that convert from decimal to binary numbers and from binary to decimal numbers. Encoders - translates from decimal to binary Decoders - translates from binary to decimal
- 10. ELECTRONIC ENCODER - DECIMAL TO BINARY 0 Decimal to Binary Encoder Binary output Decimal input 0 0 0 0 5 0 1 0 1 7 0 1 1 1 3 0 0 1 1 • Encoders are available in IC form. • This encoder translates from decimal input to binary (BCD) output.
- 11. Binary-to- 7-Segment Decoder/ Driver ELECTRONIC DECODING: BINARY TO DECIMAL Binary input 0 0 0 0 Decimal output 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 • Electronic decoders are available in IC form. • This decoder translates from binary to decimal. • Decimals are shown on an 7-segment LED display. • This decoder also drives the 7-segment display.
- 12. Uses 16 symbols -Base 16 System 0-9, A, B, C, D, E, F Decimal 1 9 10 15 16 Binary 0001 1001 1010 1111 10000 Hexadecimal 1 9 A F 10 HEXADECIMAL NUMBER SYSTEM
- 13. •Hexadecimal to Binary Conversion Hexadecimal C 3 Binary 1100 0011 Binary 1110 1010 Hexadecimal E A •Binary to Hexadecimal Conversion HEXADECIMAL AND BINARY CONVERSIONS
- 14. DECIMAL TO HEXADECIMAL CONVERSION Divide by 16 Process Decimal # 47 ÷ 16 = 2 remainder 15 2 ÷ 16 = 0 remainder 2 F 2
- 15. HEXADECIMAL TO DECIMAL CONVERSION Convert hexadecimal number 2DB to a decimal number 512 + 208 + 11 = 731 2 D B Hexadecimal Decimal Place Value 256s 16s 1s (256 x 2) (16 x 13) (1 x 11)
- 16. TEST Convert Hexadecimal number A6 to Binary Convert Hexadecimal number 16 to Decimal Convert Decimal 63 to Hexadecimal 63 = 16 = A6 = 1010 0110 (Binary) 22 (Decimal) 3F (Hexadecimal)
- 17. OCTAL NUMBERS Uses 8 symbols -Base 8 System 0, 1, 2, 3, 4, 5, 6, 7 Decimal 1 6 7 8 9 Octal 1 6 7 10 11 Binary 001 110 111 001 000 001 001
- 18. PRACTICAL SUGGESTION ON NUMBER SYSTEM CONVERSIONS • Use a scientific calculator • Most scientific calculators have DEC, BIN, OCT, and HEX modes and can either convert between codes or perform arithmetic in different number systems. • Most scientific calculators also have other functions that are valuable in digital electronics such as AND, OR, NOT, XOR, and XNOR logic functions.