Number Converters - Binary, Hex & Decimal

Number Base Conversion Tools

Number system converters transform values between different numerical bases—binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16). These conversions are fundamental to computer science, digital electronics, low-level programming, and understanding how computers represent data internally.

Understanding Number Systems

Binary (base-2) uses only 0 and 1, representing the on/off states of digital circuits. It's the fundamental language of computers and essential for understanding bit manipulation, permissions, and binary protocols.

Hexadecimal (base-16) uses digits 0-9 and letters A-F, providing a more compact representation of binary data. Each hex digit represents exactly 4 binary bits, making it ideal for memory addresses, color codes, and byte representations.

Decimal (base-10) is the human-readable number system we use daily. Converting to/from decimal helps bridge the gap between human understanding and computer representation.

Octal (base-8) uses digits 0-7 and is commonly used in Unix file permissions (chmod), where each digit represents three binary bits.

Common Use Cases

• Color codes: Convert between hex color values (#FF0000) and RGB decimal components (255, 0, 0)
• Memory addresses: Interpret hexadecimal memory locations from debuggers and system logs
• File permissions: Convert between octal (755) and binary permission representations
• Bitwise operations: Understand binary representations when working with flags, masks, and bit manipulation
• Network protocols: Decode hex packet dumps and binary protocol specifications