UNITMONKEY

Understanding Number Systems

Number systems are fundamental to computing and programming. Our number systems tools allow you to convert between different numerical representations that are commonly used in programming and computer science.

Binary (Base-2)

The fundamental language of computers, using only 0s and 1s to represent data. Binary is used at the hardware level for all computing operations and is essential for low-level programming.

Decimal (Base-10)

Our standard counting system using digits 0-9. While computers work in binary, humans typically think in decimal, making conversion between these systems a common programming task.

Hexadecimal (Base-16)

Uses 16 digits (0-9 and A-F) and is commonly used to represent memory addresses, color values, and to make binary more readable for humans. Each hex digit represents 4 binary digits.

Base64 Encoding

An encoding scheme that represents binary data in ASCII string format, commonly used for transmitting data over text-based protocols like email and HTTP.

Common Applications

Memory Addressing

Hexadecimal is commonly used to represent memory addresses in debugging and low-level programming.

Web Development

Hexadecimal for color codes (e.g., #FF5733) and Base64 for embedding images and fonts in CSS and HTML.

Data Transmission

Base64 encoding for sending binary data over text-based protocols and APIs.

Character Encoding

ASCII and Unicode conversions for working with text in different languages and special characters.