This tool is an online base converter calculator that supports real-time mutual conversion between binary, octal, decimal, and hexadecimal, and additionally provides arbitrary base conversion (2-36), common bitwise operations, and value detail analysis. All conversions are performed locally in your browser, and data is never uploaded to any server.

What is a Numeral System?

A numeral system (also called a base system) is a way of counting. The number of basic digit symbols used to represent values is called the base. Common numeral systems include: binary (base 2, characters 0-1), octal (base 8, characters 0-7), decimal (base 10, characters 0-9), and hexadecimal (base 16, characters 0-9 and A-F). Computers use binary at the lowest level to represent data, while hexadecimal is commonly used in development for simplified representation, and humans habitually use decimal in daily life.

Base Conversion Examples

• Decimal 255:Binary 11111111, Octal 377, Hexadecimal FF
• Decimal 10:Binary 1010, Octal 12, Hexadecimal A
• Decimal 100:Binary 1100100, Octal 144, Hexadecimal 64

Main Use Cases

• Use hexadecimal when reading memory addresses, color values (such as #FF0000), and Unicode code points.
• Use binary when analyzing network protocols, file formats, and permission bits.
• Linux file permissions are represented in octal (such as chmod 755).
• Use bitwise operations when debugging flags in development.
• Verify conversion results when studying computer organization and digital logic.

Tool Features

• Real-time conversion: Enter a number in any input box, and other bases will automatically synchronize.
• BigInt support: Implemented with JavaScript native BigInt, supports extremely large integer operations without losing precision beyond 2^53.
• Arbitrary base: Supports conversion between any bases from 2 to 36, covering all common scenarios.
• Bitwise tools: Provides common bitwise operations including AND, OR, XOR, NOT, left shift, and right shift.
• Value details: Automatically displays decimal value, binary bit count, byte count, ASCII character, Unicode code point, and more.
• One-click copy: Each input box has a copy button; click to copy the content.
• Safe and reliable: Pure front-end execution, no data uploaded, absolutely protects your data privacy.