Students will learn to read hexadecimal representation, which represents numbers using base 16 rather than binary's base 2. Hexadecimal uses fewer digits than binary to represent the same amounts of data. It translates 8 binary digits into 2 hexadecimal digits. Students will practice converting between binary, decimal, and hexadecimal numbering systems by writing out place values and calculating values for each digit. The goal is to understand that different bases can represent the same values and to gain experience switching between bases.
9 in the Maths for I.T Digital Learning sessions - This time the theme is the Hexadecimal number system.
Tasks incorporated include the following;
Hex to Binary
Binary to Hex
and more...
Understandable and user-friendly way to master the Hex way of working.
Computer Science - Hexadecimal
You will be able to learn how to calculate hexadecimal conversion calculations along with what hexadecimal is. This presentation will help with your gcse or a level studies or just learning about computer systems. There are also some questions with answers.
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!
Numeral Systems: Positional and Non-Positional
Conversions between Positional Numeral Systems: Binary, Decimal and Hexadecimal
Representation of Numbers in Computer Memory
Exercises: Conversion between Different Numeral Systems
9 in the Maths for I.T Digital Learning sessions - This time the theme is the Hexadecimal number system.
Tasks incorporated include the following;
Hex to Binary
Binary to Hex
and more...
Understandable and user-friendly way to master the Hex way of working.
Computer Science - Hexadecimal
You will be able to learn how to calculate hexadecimal conversion calculations along with what hexadecimal is. This presentation will help with your gcse or a level studies or just learning about computer systems. There are also some questions with answers.
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!
Numeral Systems: Positional and Non-Positional
Conversions between Positional Numeral Systems: Binary, Decimal and Hexadecimal
Representation of Numbers in Computer Memory
Exercises: Conversion between Different Numeral Systems
Introduction to Computing lecture presentation to analyze the number systems handled by digital computing devices to process data, convert decimal to binary, solve Binary Arithmetic, and extend understanding of other number systems (Octal and Hexadecimal).
Explain the concept of Number System- Binary , Decimal , Octal and Hexadecimal, conversion types, ASCII ,EBCDIC, EXCESS 3 Codes , Binary and Subtraction
Computer data representation (integers, floating-point numbers, text, images,...ArtemKovera
How computers represent different types of data.
1) Why learning how computers represent data is important
2) Binary, Octal, and Hexadecimal number systems.
3) A few words about computer memory organization
4) Representing integer numbers in computers
(two's-complement and other encodings)
5) Representing floating-point numbers
(single-precision, double-precision, quadruple-precision)
6) Binary-Coded Decimal (BCD) Representation
7) Introduction to representing text in computers (ASCII, Unicode encodings: UTF-8, UTF-16, etc)
8) Introduction to representing images in computers
9) Introduction to representing sound in computers
10) Books on Artificial Intelligence
Number 9 in the Maths for I.T Digital Learning sessions - This time the theme is the Hexadecimal number system.
Tasks incorporated include the following;
Hex to Binary
Binary to Hex
and more...
Understandable and user-friendly way to master the Hex way of working.
Introduction
Number Systems
Types of Number systems
Inter conversion of number systems
Binary addition ,subtraction, multiplication and
division
Complements of binary number(1’s and 2’s
complement)
Grey code, ASCII, Ex
3,BCD
Introduction to Computing lecture presentation to analyze the number systems handled by digital computing devices to process data, convert decimal to binary, solve Binary Arithmetic, and extend understanding of other number systems (Octal and Hexadecimal).
Explain the concept of Number System- Binary , Decimal , Octal and Hexadecimal, conversion types, ASCII ,EBCDIC, EXCESS 3 Codes , Binary and Subtraction
Computer data representation (integers, floating-point numbers, text, images,...ArtemKovera
How computers represent different types of data.
1) Why learning how computers represent data is important
2) Binary, Octal, and Hexadecimal number systems.
3) A few words about computer memory organization
4) Representing integer numbers in computers
(two's-complement and other encodings)
5) Representing floating-point numbers
(single-precision, double-precision, quadruple-precision)
6) Binary-Coded Decimal (BCD) Representation
7) Introduction to representing text in computers (ASCII, Unicode encodings: UTF-8, UTF-16, etc)
8) Introduction to representing images in computers
9) Introduction to representing sound in computers
10) Books on Artificial Intelligence
Number 9 in the Maths for I.T Digital Learning sessions - This time the theme is the Hexadecimal number system.
Tasks incorporated include the following;
Hex to Binary
Binary to Hex
and more...
Understandable and user-friendly way to master the Hex way of working.
Introduction
Number Systems
Types of Number systems
Inter conversion of number systems
Binary addition ,subtraction, multiplication and
division
Complements of binary number(1’s and 2’s
complement)
Grey code, ASCII, Ex
3,BCD
This book's author is Zafar Ali Khan .
It consists of all the topics of As Level Computer Science topics that are required to be covered.
All credits goes to Zafar Ali Khan .
This lesson is for students taking the Cambridge School certificate exams Computer science subject(2210).I hope that it will of help to students in this period of crisis. Send me your feedback or suggestions on buxooa72@ gmail.com,
Digital computers represent data by means of an easily identified symbol called a digit. The data may
contain digits, alphabets or special character, which are converted to bits, understandable by the computer.
In Digital Computer, data and instructions are stored in computer memory using binary code (or
machine code) represented by Binary digIT’s 1 and 0 called BIT’s.
The number system uses well-defined symbols called digits.
Number systems are classified into two types:
o Non-positional number system
o Positional number system
The following presentation is a part of the level 4 module -- Digital Logic and Signal Principles. This resources is a part of the 2009/2010 Engineering (foundation degree, BEng and HN) courses from University of Wales Newport (course codes H101, H691, H620, HH37 and 001H). This resource is a part of the core modules for the full time 1st year undergraduate programme.
The BEng & Foundation Degrees and HNC/D in Engineering are designed to meet the needs of employers by placing the emphasis on the theoretical, practical and vocational aspects of engineering within the workplace and beyond. Engineering is becoming more high profile, and therefore more in demand as a skill set, in today’s high-tech world. This course has been designed to provide you with knowledge, skills and practical experience encountered in everyday engineering environments.
Review of Number systems - Logic gates - Boolean
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Product of sum - Minimization using Karnaugh map -
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The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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Model Attribute Check Company Auto PropertyCeline George
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June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
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This will be used as part of your Personal Professional Portfolio once graded.
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Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
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1. L.O: STUDENTS WILL LEARN
TO READ HEXADECIMAL
REPRESENTATION
25-50 minutes (about 1 class period)
DO NOW:
READ
Unit 4 Lab 1: Number Representation, Page 3
2. Typing long strings of ones and zeros is
inconvenient very prone to error.
Its easy to make a mistake writing all
those ones and zeros for binary!
Using Hexadecimal (base
16) is a common
compromise
Four binary digits are used to
represent the values 0 through 15.
Only one hex digit is needed to
represents 0 through 15.
So eight digits of binary can be translated
into two digits of hexadecimal, which is
much easier and much less error-prone
for humans.
3. 27 26 25 24 23 22 21 20
128s
place
64s
place
32s
place
16s
place
8s
place
Fours
place
Twos
place
Ones
place
Eight bits in base two…..
…is two digits in base 16
161 160
Sixteens place Ones place
5. In base 16, there are sixteen
digits (0-9 and A-F)….
..Each place is worth sixteen times
the place to its right.
One hex digit has 16 possible values, the
equivalent of four binary digits (bits).
6. By convention, place value notations
use only one digit in each place. We
need to represent 0 through 15, and
we have digits for 0-9, so we choose
A-F for the remaining values:
10 11 12 13 14 15
A B C D E F
7. For You to Do:
1. Watch this Hexadecimal and Binary Timer Snap!
program run. The top row counts in binary, the
middle in decimal, the bottom in hex. Write a
description of the hex counter's behavior
binary
decimals
hex
8. Reading Hexadecimal
• Base 16 uses powers of sixteen instead of powers
of two or ten.
• Place values in hexadecimal represent the units
place (160 = 1)
• the sixteens place (161 = 16)
• the two hundred fifty-sixes place (162 = 256)
• the four thousand ninety-sixes place (163 = 4096),
etc. So, for example:
3B16 = 3 × 161 + 11 × 160 = 48 + 11 = 5910
9. Hex to base 10.
To translate from hexadecmial (like 7B316 ) to base
10:
1. first, write the digits on paper.
2. Then write out the hexadecimal place values.
3. start at the right with 1,
4. then write 16 in the next place to the left,
5. then write 256 (which is 162), and so on.
Each new place will be worth 16 times the one to its
right. 7 B 3
256 16 1
This means:
7B316 =
7⋅256 + 11⋅16 + 3⋅1 = 1792 + 176 + 3 = 197110
10. A-F cover the digits after 9:
10 11 12 13 14 15
A B C D E F
11. Sample problem HEX into decimals
FF16
FF16 =
= (15⋅161 + 15⋅160)10
= (15⋅16 + 15)10
= 25510
15. Is “11” the number eleven (in decimal)?
Or three (written in binary)?
Or is it seventeen ( written in hex)?
• A numeral like 11 could mean eleven in the usual
decimal notation.
• or three if it is a binary numeral
• or seventeen in hex notation.
• The only way you know that the ”11” doesn't
mean eleven is that you have write the base:
11 base 16 or just 1116
• (By convention, the base itself is always written in
decimal notation.)
16. Writing Hexadecimal:
translating decimals (base 10) to Hex
(base 16)
To translate from base 10 (like 29910 ) to base 16:
• first write out the hex place values by multiplying by
16 moving left from the units place until you get to a
value larger than your number (4096 for this
example).
• Then think, "My number is smaller than 4096, so I
leave that place blank. But I can subtract a two
hundred fifty-six once, so I write a 1 there,
• and there's 43 left. Now, I can subtract 2 sixteens,
• and there's 11 left. And 11 is B in hex.
21. Learning Objectives:
• LO 2.1.1 Describe the variety of
abstractions used to represent
data. [P3]
• LO 2.1.2 Explain how binary
sequences are used to represent
digital data. [P5]
22. Enduring Understandings:
•EU 2.1 A variety of
abstractions built upon
binary sequences can be
used to represent all
digital data.
23. Essential Knowledge:
1. EK 2.1.1A Digital data is represented by
abstractions at different levels.
2. EK 2.1.1B At the lowest level, all digital data are
represented by bits.
3. EK 2.1.1C At a higher level, bits are grouped to
represent abstractions, including but not limited
to numbers, characters, and color.
4. EK 2.1.1D Number bases, including binary,
decimal, and hexadecimal, are used to represent
and investigate digital data
24. Essential Knowledge:
• 5. EK 2.1.1E At one of the lowest levels of
abstraction, digital data is represented in binary
(base 2) using only combinations of the digits zero
and one.
• 6. EK 2.1.1F Hexadecimal (base 16) is used to
represent digital data because hexadecimal
representation uses fewer digits than binary.
• 7. EK 2.1.1G Numbers can be converted from any
base to any other base.
• 8. EK 2.1.2A A finite representation is used to
model the infinite mathematical concept of a
number.
25. Essential Knowledge:
• 9. EK 2.1.2B In many programming languages, the
fixed number of bits used to represent characters
or integers limits the range of integer values and
mathematical operations; this limitation can result
in overflow or other errors.
• 10.EK 2.1.2C In many programming languages, the
fixed number of bits used to represent real
numbers (as floating point numbers) limits the
range of floating point values and mathematical
operations; this limitation can result in round off
and other errors.
26. Essential Knowledge:
• 11. EK 2.1.2D The interpretation of a binary sequence
depends on how it is used.
• 12. EK 2.1.2E A sequence of bits may represent
instructions or data.
• 13. EK 2.1.2F A sequence of bits may represent
different types of data in different contexts.
• 14. EK 6.2.2J The bandwidth of a system is a measure
of bit rate—the amount of data (measured in bits)
that can be sent in a fixed amount of time.
• 15. EK 6.2.2K The latency of a system is the time
elapsed between the transmission and the receipt of a
request.
Editor's Notes
The third page introduces hexadecimal representation, which uses sixteen digits (0-9 and A-F), building on students' understanding of binary. On the fourth page, students learn to translate between hex and binary and about the use of hex in RGB colors. The last page is an optional project in which students build a decimal-to-binary conversion procedure based on and reviewing their work with base 2 representation. Hexadecimal" is often abbreviated just to "hex." Either is fine to use generally, but students should recognize both.
Page 3: Hexadecimal Representation.
Understand how numbers are stored in hexadecimal notation.
Understand how to translate numerals between hexadecimal and decimal notations.
There's no such thing as a "binary number" or a "hexadecimal number." The way we represent a number—as XXXIRoman or 3110 or 111112 or 1F16 or "thirty-one" or "treinta y uno"—is language or notation. The number, itself, is the same, regardless of what language we express it in. It helps the distinction to say "binary numerals" or "binary representation" instead of "binary numbers." Some curriculum materials are less careful. It's not just pedantry; students understand the conversions better when they remain clearly aware that only the notation, not the number, changes. Explicitly making the analogy with Roman numerals may help; students are likely to understand and be able to extend from the idea XXXI and 31 are the same number written different ways.
Page 3: Hexadecimal Representation.
Don't teach hex arithmetic. The goal is for students to become familiar with the notation of hex. Consider translating between representations for a few numbers together at the board.