Data Representation: Understanding Number Bases

Terms and infos about the use of number system in Data Re

Decimal System

Standard system for denoting integer and non-integer numbers based on 10 symbols: 0-9.

Binary System

Base-2 numeral system using only two symbols: 0 and 1; used in computers for data representation.

Binary Digit (Bit)

Each binary digit is a 0 or 1, fundamental unit in binary representation.

Binary to Decimal Conversion

Process of converting binary numbers to decimal by summing products of each bit and its corresponding power of 2.

Decimal to Binary Conversion

Process of converting decimal numbers to binary by dividing by 2 and recording remainders.

Hexadecimal System

Base-16 numeral system using 16 symbols: 0-9 and A-F; often used in computing for human-friendly binary representation.

10, 11, 12, 13, 14 , and 15

In Hexadecimal, what are the equivalent value of “A”, “B”, “C”, “D”, “E”, and “F”, respectively?

Decimal to Hexadecimal Conversion

Process of converting decimal numbers to hexadecimal by dividing by 16 and recording remainders.

Hexadecimal to Decimal Conversion

Process of converting hexadecimal numbers to decimal by summing products of each digit and its corresponding power of 16.

Binary to Hexadecimal Conversion

Process of converting binary numbers to hexadecimal by grouping bits into sets of four and converting each group to its hexadecimal equivalent.

Hexadecimal to Binary Conversion

Process of converting hexadecimal numbers to binary by converting each digit to its four-digit binary equivalent.

Compact Representation

Hexadecimal provides a more compact and readable form of binary numbers, aiding in interpretation.

Ease of Conversion

Conversion between binary and hexadecimal is straightforward, with one hex digit corresponding to four binary digits.

Error Reduction

Hexadecimal reduces errors in reading and writing long binary numbers.

Memory Addressing

Hexadecimal is used in memory addresses and machine code, facilitating programmer understanding.

Color Codes in Web Design

Web colors are often represented in hexadecimal format (e.g., #FFFFFF for white).

Memory Dumps

Hexadecimal is used to display memory addresses and values in debugging tools.

Assembly Language

Low-level programming often uses hexadecimal to represent binary-coded instructions.

Networking

IP and MAC addresses are often represented in hexadecimal format.