Input Number

Input Base

Decimal (Base 10)

Quick Examples:

Converted Values

Binary (Base 2)

101010

Uses digits: 0, 1

Octal (Base 8)

52

Uses digits: 0-7

Decimal (Base 10)

42

Uses digits: 0-9 (standard counting system)

Hexadecimal (Base 16)

2A

Uses digits: 0-9, A-F

About Number Base Converter

What are Number Bases?

A number base (or radix) is the number of unique digits used to represent numbers in a positional numeral system. The most common number bases in computer science are binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16).

Number Base Systems

Binary (Base 2): Uses only 0 and 1. The fundamental number system in computing, as computers process data in binary. Each digit represents a power of 2.

Example: 101010₂ = (1×32) + (0×16) + (1×8) + (0×4) + (1×2) + (0×1) = 42₁₀

Octal (Base 8): Uses digits 0-7. Common in Unix file permissions and older computing systems. Each digit represents a power of 8.

Example: 52₈ = (5×8) + (2×1) = 42₁₀

Decimal (Base 10): Uses digits 0-9. The standard number system used in everyday life. Each digit represents a power of 10.

Example: 42₁₀ = (4×10) + (2×1) = 42

Hexadecimal (Base 16): Uses digits 0-9 and letters A-F. Widely used in programming for representing memory addresses, colors, and compact binary representation. Each digit represents a power of 16.

Example: 2A₁₆ = (2×16) + (10×1) = 42₁₀

Common Use Cases

Programming: Understanding hexadecimal for memory addresses, color codes (#FF5733), and binary for bitwise operations
Computer Science: Learning how computers store and process data at the hardware level
Web Development: Converting color values between hex (#FF5733) and RGB (255, 87, 51)
System Administration: Working with Unix file permissions (octal notation like 755, 644)
Networking: Understanding IP addresses, subnet masks, and MAC addresses
Low-level Programming: Debugging, reading memory dumps, and working with registers
Cryptography: Representing encrypted data and hash values
Embedded Systems: Programming microcontrollers and reading datasheets

Conversion Examples

Decimal	Binary	Octal	Hexadecimal
0	0	0	0
10	1010	12	A
15	1111	17	F
42	101010	52	2A
100	1100100	144	64
255	11111111	377	FF
1024	10000000000	2000	400

Features

Convert between Binary, Octal, Decimal, and Hexadecimal
Real-time conversion as you type
Input validation for each number base
One-click copy for each output
Quick example buttons for testing
Supports large numbers
Clear error messages for invalid input
Client-side processing - your data never leaves your browser
No installation or sign-up required

Why Use This Converter?

Our number base converter provides instant conversions between all common number systems used in programming and computer science. Whether you're debugging code, learning about computer architecture, or working with low-level systems, this tool makes number base conversions quick and error-free.

The converter automatically validates input for the selected base and provides clear error messages if invalid characters are entered. All conversions happen in your browser for maximum privacy and speed.

Privacy & Security

All number conversions happen directly in your browser using JavaScript. Your input numbers are never sent to any server or stored anywhere. This ensures complete privacy and security for your data.