Number Base Converter

Convert numbers between binary, octal, decimal, and hexadecimal

Custom Base Converter (Base 2–36):

What is Number Base Converter?

The Number Base Converter is a free online tool that converts numbers between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) number systems instantly in your browser. Number base conversion is a fundamental skill in computer science, programming, and digital electronics. Binary is the native language of computers, hexadecimal is used for memory addresses and color codes, octal appears in Unix file permissions, and decimal is the everyday number system. This tool converts any number to all four bases simultaneously, so you can see the equivalent representation in every system at once. It is an essential reference for developers, students, and engineers working with low-level programming, hardware, networking, or computer architecture.

Why Use DevBench Number Base Converter?

DevBench Number Base Converter runs entirely in your browser — your data never leaves your device. No sign-up, no limits, no watermarks, completely free forever.

How to Use Number Base Converter

  1. Select the input base (binary, octal, decimal, or hexadecimal)
  2. Enter your number in the input field
  3. View instant conversions to all other number bases
  4. Copy any result using the Copy button next to each output
  5. Switch input base to convert from a different number system

Examples

  • Convert decimal 255 to binary (11111111), octal (377), and hex (FF)
  • Convert hex color code FF5733 to decimal for CSS calculations
  • Convert binary 10101010 to hex AA for memory address notation
  • Convert octal 755 to binary for Unix file permission analysis
  • Convert decimal 65 to binary to see ASCII character A in binary

Use Cases

  • Converting decimal numbers to binary for computer science coursework
  • Transforming hex memory addresses to decimal for debugging
  • Converting binary data to hexadecimal for compact representation
  • Transforming octal Unix permissions to binary for analysis
  • Converting hex color codes to decimal for CSS and design work
  • Transforming decimal port numbers to hex for network programming
  • Converting binary flags to decimal for bitwise operation results
  • Transforming hex error codes to decimal for troubleshooting
  • Converting decimal ASCII values to binary for encoding study
  • Transforming numbers between bases for embedded systems programming

Frequently Asked Questions

What number bases does this tool support?

The tool supports the four most common number bases used in computing: binary (base 2, digits 0-1), octal (base 8, digits 0-7), decimal (base 10, digits 0-9), and hexadecimal (base 16, digits 0-9 and A-F). These cover virtually all use cases in programming and computer science.

Can I convert negative numbers?

The tool converts positive integers. For negative numbers in binary, the representation depends on the convention used (sign-magnitude, one's complement, or two's complement). For most practical purposes, convert the absolute value and apply the sign convention manually.

Is there a limit on how large the number can be?

The tool handles numbers up to JavaScript's safe integer limit (2^53 - 1 for decimal). For very large numbers like 64-bit integers used in some systems, results may lose precision. Use specialized big integer libraries for cryptographic or very large number conversions.

Why is hexadecimal used so much in programming?

Hexadecimal is popular because each hex digit represents exactly 4 binary bits, making it a compact and readable way to represent binary data. A byte (8 bits) is always exactly 2 hex digits. This makes hex ideal for memory addresses, color codes, byte sequences, and machine-level data.

What does 0x prefix mean in hexadecimal?

The 0x prefix is a programming convention to indicate that a number is in hexadecimal format. For example, 0xFF means the hex value FF (decimal 255). This prefix is used in C, C++, JavaScript, Python, and most other programming languages to distinguish hex literals from decimal numbers.