Number System Converter

Convert between binary, decimal, octal, and hexadecimal numbers

Input Numbers

Max 32 bits
Range: 0 to 4,294,967,295
Digits: 0-7
Digits: 0-9, A-F

Conversion Results

Binary Result

00000000000000000000000000000000
32-bit representation

Decimal Result

0
Unsigned integer

Octal Result

0
Base 8 representation

Hexadecimal Result

0
Base 16 representation

Additional Information

Bit Count: 0 bits
Byte Size: 0 bytes
Endianness: Big Endian
Signed/Unsigned: Unsigned

Quick Examples

Number System Basics

Binary (Base 2)

  • • Uses only two digits: 0 and 1
  • • Each digit is called a "bit"
  • • Fundamental to computer systems
  • • 8 bits = 1 byte

Decimal (Base 10)

  • • Uses digits 0-9
  • • Most common number system
  • • Used in everyday mathematics
  • • Positional notation system

Octal (Base 8)

  • • Uses digits 0-7
  • • Each digit represents 3 bits
  • • Used in some computing systems
  • • Less common than hex

Hexadecimal (Base 16)

  • • Uses digits 0-9 and A-F
  • • Each digit represents 4 bits
  • • Widely used in programming
  • • Compact representation of binary

Common Conversions

Decimal Binary Octal Hex
0 0 0 0
1 1 1 1
2 10 2 2
8 1000 10 8
10 1010 12 A
16 10000 20 10
255 11111111 377 FF

Binary/Decimal/Hex/Octal Converter - Convert Number Systems Instantly

Our free number system converter helps programmers, students, engineers, and IT professionals quickly convert between binary, decimal, hexadecimal, and octal number systems. Whether you're debugging code, studying computer science, or working on digital electronics projects, this tool provides instant conversions with automatic base detection.

Convert binary to decimal, hex to binary, octal to decimal, and all combinations between these fundamental number systems used in computing and digital technology.

How to Use This Number System Converter

Step 1: Enter Your Number

  • Input any binary, decimal, hex, or octal number
  • Our tool automatically detects the number system
  • No need to specify the base - we handle it automatically

Step 2: Get Instant Conversions

  • View all conversions in binary, decimal, hex, and octal
  • Copy any result with a single click
  • Clear inputs to start fresh with new conversions

Why Use Our Number System Converter?

Automatic Base Detection

Our converter intelligently detects whether your input is binary, decimal, hexadecimal, or octal, eliminating guesswork and manual base selection.

Bidirectional Conversions

Convert between all four number systems in any direction - binary to hex, decimal to octal, hex to binary, and every combination.

One-Click Copy

Easily copy conversion results to your clipboard for use in code, documents, or calculations with our convenient copy buttons.

Instant Results

Get all four conversions simultaneously without multiple steps or separate calculations for each number system.

Programming & Engineering Tool

Used by developers, computer science students, electrical engineers, and IT professionals worldwide. No installation required - start converting instantly!

Frequently Asked Questions (FAQ)

What are the different number systems used for?

Binary (base-2) is the fundamental language of computers. Decimal (base-10) is our everyday number system. Hexadecimal (base-16) simplifies binary representation. Octal (base-8) is used in some computing applications and digital systems.

How does automatic base detection work?

Our algorithm analyzes your input: numbers with only 0s and 1s are treated as binary, numbers with digits 0-7 as octal, numbers with digits 0-9 as decimal, and numbers containing A-F (along with 0-9) as hexadecimal.

Can I convert negative numbers or fractions?

Currently, this converter handles positive integers only. For negative numbers or floating-point conversions, you would need to understand two's complement or floating-point representation specific to your application.

Why is hexadecimal commonly used in programming?

Hexadecimal provides a compact way to represent binary data. Each hex digit corresponds to exactly four binary digits (bits), making it easier for humans to read and work with binary values, memory addresses, and color codes.