NUMBER SYSTEM.pptx
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Number systems are used to represent information quantitatively and include binary, decimal, octal, and hexadecimal. Binary uses only two digits, 0 and 1, while decimal uses 10 digits, octal uses eight digits from 0 to 7, and hexadecimal uses 16 digits from 0 to 9 and A to F. Converting between number systems allows for efficient representation of large binary numbers and universal representation of quantities outside digital systems using decimal.
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Class 9Number system ppt.pptx
This document discusses different number systems including decimal, binary, octal, hexadecimal, BCD, and Gray code. It provides the following information:
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- BCD represents each decimal digit with a 4-bit binary code, allowing decimal numbers to be written in binary. Gray code is a non-weighted binary code where successive codes differ by one bit.
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The document discusses different number systems used in digital electronics, including binary, decimal, octal, and hexadecimal. It provides examples and explanations of how to convert between these number systems. In particular, it outlines the process for converting binary numbers to decimal numbers by multiplying each bit by its place value weight and summing the results. This includes approaches for fractional binary numbers and mixed binary numbers containing both integer and fractional parts.
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- Decimal, binary, octal, and hexadecimal are different number systems used to represent numeric values.
- Decimal uses 10 digits (0-9), binary uses two digits (0-1), octal uses 8 digits (0-7), and hexadecimal uses 16 digits (0-9 and A-F).
- Each system has a base or radix - the number of unique digits used. Decimal is base 10, binary base 2, octal base 8, and hexadecimal base 16.
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Number System.pptx
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.
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The document discusses different number systems used in digital electronics, including binary, decimal, octal, and hexadecimal. It provides examples and explanations of how to convert between these number systems. In particular, it outlines the process for converting binary numbers to decimal numbers by multiplying each bit by its place value weight and summing the results. This includes approaches for fractional binary numbers and mixed binary numbers containing both integer and fractional parts.
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- Decimal, binary, octal, and hexadecimal are different number systems used to represent numeric values.
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- Each system has a base or radix - the number of unique digits used. Decimal is base 10, binary base 2, octal base 8, and hexadecimal base 16.
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Number System.pptx
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:
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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.
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Details about DECIMAL, BINARY, OCTAL & HEXADECIMAL in the form of slides or ppt for presentation this topic.
Number System.
A number system is a way of representing and organizing numbers. There are several types of number systems, including:
1. Binary Number System: uses only two digits, 0 and 1, to represent numbers.
2. Decimal Number System: uses ten digits, 0 to 9, to represent numbers. It is the most commonly used number system in daily life.
3. Octal Number System: uses eight digits, 0 to 7, to represent numbers.
4. Hexadecimal Number System: uses sixteen digits, 0 to 9 and A to F, to represent numbers.
5. Scientific Notation: represents numbers in a compact form by expressing them as a product of a power of 10 and a number between 1 and 10.
Each number system has its own advantages and disadvantages, and they are used in different applications based on their suitability.
Here are some important things to know about number systems:
1. Number systems are used to represent and store numerical values in computers and other digital devices.
2. The choice of a number system depends on the requirement of a specific application, and each number system has its own advantages and disadvantages.
3. The decimal number system is widely used in daily life, but binary and hexadecimal number systems are more commonly used in computer programming and electronic devices.
4. Converting between different number systems requires an understanding of the place value system, which assigns different values to each digit based on its position in the number.
5. The binary number system is particularly important to understand in the context of computer science, as it is used to represent data in the form of bits, and all data processed by computers is ultimately represented as binary numbers.
6. The hexadecimal number system is commonly used in computer programming because it is more compact and easier to read than binary or decimal representations of large numbers.
7. The octal number system is used less frequently in modern computer systems, but it is still used in some specialized applications.
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Here are some important things to know about number systems:
1. Number systems are used to represent and store numerical values in computers and other digital devices.
2. The choice of a number system depends on the requirement of a specific application, and each number system has its own advantages and disadvantages.
3. The decimal number system is widely used in daily life, but binary and hexadecimal number systems are more commonly used in computer programming and electronic devices.
4. Converting between different number systems requires an understanding of the place value system, which assigns different values to each digit based on its position in the number.
5. The binary number system is particularly important to understand in the context of computer science, as it is used to represent data in the form of bits, and all data processed by computers is ultimately represented as binary numbers.
6. The hexadecimal number system is commonly used in computer programming because it is more compact and easier to read than binary or decimal representations of large numbers.
7. The octal number system is used less frequently in modern computer systems, but it is still used in some specialized applications.
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- 1. NUMBER SYSTEM • Number system is used to represent information in quantitative form. • Some important types of number system : • Binary • Decimal Number System • Octal Number System • Hexa decimal Number System
- 2. Binary Number System • In the binary number system there are only two symbols of possible digit values 0&1. • So, this base 2 system can be used to represent any quantity that can be represented in any number system. • Example : (101011001)2
- 3. Decimal Number System • It is composed of 10 numerals or symbols from 0 to 9. It is also called the base-10 system as it has 10 digits. • Digit that contains most weight is called Most Significant Digit (MSD) & the digits that least weight is the Least Significant Digit (LSD). • Example : (2512)10
- 4. Octal Number System • It has a base of eight which means it has eight unique symbols. • The 8 unique symbols are 0 to 7 • Binary equivalents of octal number system
- 5. Hexa Decimal Number System • It uses base- 16. Thus it has 16 digit symbols • The 16 unique symbols are 0 to 9 and the letters A,B,C,D,E,F • Binary equivalents of hexa decimal number system
- 6. CONVERSIONS • The binary number system is the most important one in digital systems as it is very easy to implement in Circuitry. • The Decimal number system is important because it is universally used to represent quantities outside a digital system. • Octal & Hexa decimal provide and efficient means for the representing large binary numbers.