This chapter introduces encoding schemes and number systems, essential for understanding how computers process data.
Encoding Schemes and Number System - Quick Look Revision Guide
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Key Points
Encoding converts data into a coded form.
Encoding is the process of converting data into a specific format using unique codes, making it understandable to computers.
ASCII uses 7 bits for character encoding.
The American Standard Code for Information Interchange (ASCII) represents 128 characters using 7-bit binary codes, primarily for English characters.
Binary is the native language of computers.
Computers understand binary (0s and 1s) as this is the base-2 numeral system used for all operations internally.
Hexadecimal simplifies binary representation.
Hexadecimal (base-16) condenses binary data for easier readability, using 16 symbols (0-9, A-F) to represent values.
Octal groups 3 binary bits.
The octal number system (base-8) represents binary data in groups of three bits, simplifying large binary numbers.
Decimal is base-10 for everyday use.
The decimal system uses digits (0-9) and is the standard counting system in daily life, representing numbers as positional values.
Unicode supports global character encoding.
Unicode provides a unique number for every character in all writing systems, accommodating diverse languages, including Indian scripts.
ISCII promotes Indian language computing.
The Indian Script Code for Information Interchange (ISCII) uses 8 bits to encode Indian scripts, allowing up to 256 characters.
Binary to decimal conversion is positional.
To convert binary to decimal, multiply each bit by 2 raised to its positional exponent and sum the results.
Decimal to binary conversion uses division.
To convert decimal to binary, divide the number by 2, record the remainder, and reverse the order of remainders.
Binary grouping aids octal conversion.
To convert binary to octal, group bits in threes from the right and replace each group with its octal equivalent.
Hexadecimal uses 4 binary bits.
Each hexadecimal digit corresponds to a 4-bit binary value, making it easy to condense binary data.
Text representation in computers is standardized.
Encoding schemes like UTF-8, UTF-16, and ASCII ensure consistent data representation across different devices and applications.
Memory addresses often use hexadecimal.
Memory addresses in computing are usually represented in hexadecimal for simplified viewing and handling of binary data.
Fractional part conversion differs from whole numbers.
When converting fractions to binary, multiply by 2 or the base until you reach 0 or a repeating pattern.
Positional values in number systems determine value.
In any positional numeral system, the value of a digit is determined by its position and the system's base.
Memory locations are identified using unique addresses.
Each location in a computer's memory has a unique address, enabling effective data retrieval and management.
Converting from octal to binary is straightforward.
Each octal digit represents a 3-bit binary number, making conversion from octal to binary direct and simple.
Use of encoding schemes prevents data misinterpretation.
Standard encoding schemes eliminate discrepancies in how text is processed and viewed across different platforms.
Understanding number systems is crucial for programming.
Knowledge of different number systems (binary, decimal, octal, hexadecimal) is fundamental for effective coding and data processing.
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