Math CalculatorsActive Calculation Engine

Base Converter

Convert numbers between binary, decimal, octal, and hexadecimal number systems.

Base Converter

Convert numbers between binary, decimal, octal, and hexadecimal

Base-2 number system used in digital systems and computing. Every digit is either 0 or 1.

Base-10 number system commonly used in everyday life. Digits range from 0 to 9.

Base-8 number system with digits 0-7. Historically used in computing.

Base-16 number system with digits 0-9 and letters A-F. Commonly used in programming and color codes.

What is Base Conversion?

Number system conversion is the process of translating a number from one base (number system) to another. Each base system uses a different set of symbols to represent values.

When to Use?

Base converters are essential in programming, networking, color code hexadecimal values, understanding memory addresses, working with binary data, and converting between different data representations.

Applications

  • Converting memory addresses in debugging and reverse engineering
  • Working with color codes in web design (RGB values in hexadecimal)
  • Understanding IP addresses and subnet masks in networking
  • Binary data representation in computer science
  • File permissions and access control in Unix/Linux systems
  • Converting between different data formats
  • Understanding assembly language and machine code

Key Points

  • Binary (base-2): Fundamental to all digital systems, uses only 0 and 1
  • Decimal (base-10): Our everyday counting system with digits 0-9
  • Octal (base-8): Less common today, but historically important in computing
  • Hexadecimal (base-16): Widely used in programming for compact representation

Example

Converting the decimal number 255 (maximum 8-bit value) to all bases:

Decimal

255

Binary

11111111

Octal

377

Hexadecimal

FF

History

No conversions yet. Results will appear here.