Numbering system, binary number system, octal number system, decimal number system, hexadecimal number system.
Code conversion, Conversion from one number system to another, floating point numbers
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!
Numbering system, binary number system, octal number system, decimal number system, hexadecimal number system.
Code conversion, Conversion from one number system to another, floating point numbers
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!
Every computer stores numbers, letters and other specially characters In coded form. There are two types of number system-
Non-Positional Number system
Positional Number System
A power point presentation on number system which briefly explains the conversion of decimal to binary, binary to decimal, binary to octal, octal to decimal. Ping me at Twitter (https://twitter.com/rishabh_kanth), to Download this Presentation.
To Download this click on the link below:-
http://www29.zippyshare.com/v/42478054/file.html
Number System
Decimal Number System
Binary Number System
Why Binary?
Octal Number System
Hexadecimal Number System
Relationship between Hexadecimal, Octal, Decimal, and Binary
Number Conversions
A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. It can be seen as the context that allows the symbols "11" to be interpreted as the binary symbol for three, the decimal symbol for eleven, or a symbol for other numbers in different bases.
In this ppt , you will learn about the evolution of number systems, decimal, binary and hexadecimal and why hexadecima is the most important form of number systems when working with microcontroller programming.
A digital system can understand positional number system only where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.
A number system is a mathematical framework for representing and expressing numbers. It consists of a set of symbols and rules for using those symbols to represent numeric values. The most common number systems include:
Decimal (Base-10): The decimal system uses ten symbols (0-9) to represent numbers. It is the system most widely used in everyday life.
Binary (Base-2): The binary system uses two symbols (0 and 1). It's fundamental in computer science and digital electronics, representing data using on/off or high/low states.
Octal (Base-8): Octal uses eight symbols (0-7). It is occasionally used in computing and programming.
Hexadecimal (Base-16): Hexadecimal uses sixteen symbols (0-9 and A-F). It's prevalent in computer science for representing binary values in a more concise and readable form.
Roman Numerals: Roman numerals are a non-positional system that uses combinations of letters (e.g., I, V, X, L) to represent numbers. They are often found in historical and formal contexts.
Each number system has its own rules for counting and arithmetic operations. The choice of number system depends on the application, with decimal being the most common for everyday use and binary being vital for computer operations. Different systems have their advantages and disadvantages in different contexts.
Every computer stores numbers, letters and other specially characters In coded form. There are two types of number system-
Non-Positional Number system
Positional Number System
A power point presentation on number system which briefly explains the conversion of decimal to binary, binary to decimal, binary to octal, octal to decimal. Ping me at Twitter (https://twitter.com/rishabh_kanth), to Download this Presentation.
To Download this click on the link below:-
http://www29.zippyshare.com/v/42478054/file.html
Number System
Decimal Number System
Binary Number System
Why Binary?
Octal Number System
Hexadecimal Number System
Relationship between Hexadecimal, Octal, Decimal, and Binary
Number Conversions
A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. It can be seen as the context that allows the symbols "11" to be interpreted as the binary symbol for three, the decimal symbol for eleven, or a symbol for other numbers in different bases.
In this ppt , you will learn about the evolution of number systems, decimal, binary and hexadecimal and why hexadecima is the most important form of number systems when working with microcontroller programming.
A digital system can understand positional number system only where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.
A number system is a mathematical framework for representing and expressing numbers. It consists of a set of symbols and rules for using those symbols to represent numeric values. The most common number systems include:
Decimal (Base-10): The decimal system uses ten symbols (0-9) to represent numbers. It is the system most widely used in everyday life.
Binary (Base-2): The binary system uses two symbols (0 and 1). It's fundamental in computer science and digital electronics, representing data using on/off or high/low states.
Octal (Base-8): Octal uses eight symbols (0-7). It is occasionally used in computing and programming.
Hexadecimal (Base-16): Hexadecimal uses sixteen symbols (0-9 and A-F). It's prevalent in computer science for representing binary values in a more concise and readable form.
Roman Numerals: Roman numerals are a non-positional system that uses combinations of letters (e.g., I, V, X, L) to represent numbers. They are often found in historical and formal contexts.
Each number system has its own rules for counting and arithmetic operations. The choice of number system depends on the application, with decimal being the most common for everyday use and binary being vital for computer operations. Different systems have their advantages and disadvantages in different contexts.
this presentation explains the nature of digital and binary data. it introduces the number systems such as decimal, binary, octal and hexadecimal. it also explains the addition and subtraction of binary numbers by following their arithmetical rules. explains the different forms of data and forms of processed data.
CONTENTS
INTRODUCTION,
TYPES OF NUMBER SYSTEM,
DECIMAL NUMBER SYSTEM,
BINARY NUMBER SYSTEM,
OCTAL NUMBER SYSTEM,
HEXADECIMAL NUMBER SYSTEM,
CONVERSION METHOD,
• INTRODUCTION:
A set of values used to represent different quantities is known as NUMBER SYSTEM.
For example-
A number can be used to represent the number of student in a class or number of viewers watching a certain TV program etc.
• TYPES OF NUMBER SYSTEM:
Number systems are four types,
1. DECIMAL NUMBER SYSTEM,
2. BINARY NUMBER SYSTEM,
3. OCTAL NUMBER SYSTEM,
4. HEXADECIMAL NUMBER SYSTEM,
DECIMAL NUMBER SYSTEM:
The number system that we used in our day to day life is the decimal number system.
Decimal number system has base 10 as it uses ten digits from 0 to 9.
EXAMPLE-(234)10
BINARY NUMBER SYSTEM:
Binary number system uses two digits 0&1.
Its base is 2.
A combination of binary numbers may be used to represent different quantities like 1001.
Example –
(1001)2,
(100)2,
OCTAL NUMBER SYSTEM:
Octal number system consists of eight digits from 0 to 7.
The base of octal system is 8.
Any digit in this system is always less than 8.
It is shortcut method to represent long binary number.
Example –
(34)8,
(235)8,
• HEXADECIMAL NUMBER SYSTEM:
Hexadecimal number system consist of 16 digits from 0 to 9 and a to f.
Its base is 16.
Each digit of this number system represents a power of 8.
Example-
(6D) 16,
(A3)16,
CONVERSION METHOD:
There are two methods used most frequently to convert a number in a particular base to another base.
Remainder method,
Expansion method,
REMAINDER METHOD:
This method is used to convert a decimal number to its equivalent value in any other base.
The following steps are to be followed by this method:
Divide the number by the base and note the remainder.
Divide the quotient by the base and note the remainder.
Repeat step 2 until the quotient cannot be divided further. That is, the quotient become to smaller than divisor.
The sequence of remainder starting from last generated 1 prefix by undivided quotient is the converted number.
EXPANSION METHOD:
This method can be applied to convert any number in any base to its equivalent in base 10.
During expansion, the base of the number is sequentially raised to start with 0 and is incremented by one for every digit that occurs in the binary number.
THANK YOU!!!!!
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).
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5. Introduction
what is number system ?
• Its used to define a set of values which show some
quantity about any thing.
• A number system can be represented differently in
different system.
• Not only for computers but also imp- for arithmetic
work.
7. History
Roman numbers systems :
• Developed by ancients roman around 5,000 years B.C.
• Roman number based on seven symbols.
I = 1, V= 5, X= 10, L= 50, C= 100, D= 500, M= 1000
8. History :
Arabic number system:
• These numbers developed by al-Khwarizmi and
alkindi around 12th century.
9.
10. Binary number system
This system include only one and zero digits.
Every value is represented by 1 & 0 symbols.
Its is also known base 2 number system.
Example : (010)2 = 2
11. Applications
• In computers all data represents in binary & for
arithmetic process.
• Many integrated circuits used them in logic gates.
• It is used in all digital devices
12. Decimal number system
• This system include only ten digits from 0 to 9.
• Its also known base 10 number system.
• 0 is minimum value & 9 is maximum value digit.
• Examples : 10 = in this digit 0 is at unit and 1 at
ten position
13. Applications
• Use in daily routine use for different work.
• its easy to use for arithmetic purpose.
14. Octal number system
• This system number include eight number from 0
to 7.
(0,1,2,3,4,5,6,7)
• Its also known base 8 number system.
• Example:
(273)8
15. Applications
• Scientists are often looking for shortcut to do
things by using this number system.
programing
• Is was very popular in PDP/-8 and old computer
systems.
16. Hexadecimal number system
• It contains 16 digits from 1 to 9 and 6 letters from A to F.
A = 11 , B = 12, C = 13, D = 14, F =15,
• This also known as base 16 number system.
• Example: (273)8
17. Applications
• It’s used in computer system for
representation of colores.
• Hexadecimal provide shortcut method for
apply binary numbers