Free Decimal ↔ Binary Converter
Convert between decimal and binary number systems
Our free Decimal ↔ Binary Converter helps you convert decimal numbers to binary and binary numbers back to decimal instantly. Perfect for programmers, students, and anyone working with number systems. 100% free, client-side processing ensures your data stays private.
🔢 What is Binary?
Binary is a base-2 number system that uses only two digits: 0 and 1. It's the fundamental language of computers, where all data is ultimately represented as sequences of binary digits (bits). Decimal is the base-10 system we use daily with digits 0-9.
✨ Features
Instant Conversion
Encode or decode URLs in milliseconds
Bidirectional
Encode to URL format or decode back to original
Privacy First
All processing happens in your browser
One-Click Copy
Copy encoded/decoded URLs instantly
100% Free
No limits, no registration required
Universal Support
Works with all URL formats and characters
🎯 Common Use Cases
💻 Programming
Understand binary representation of numbers in computer science and low-level programming
📚 Education
Learn number systems, binary arithmetic, and computer fundamentals
🔧 Debugging
Analyze binary data, bit flags, and bitwise operations in code
🎮 Game Development
Work with binary masks, permissions, and state management
🔐 Cryptography
Understand binary operations in encryption and hashing algorithms
📡 Networking
Convert IP addresses and subnet masks between decimal and binary
📚 How to Use
- 1. Choose Mode: Select "Decimal to Binary" or "Binary to Decimal"
- 2. Enter Number: Type your decimal or binary number in the input field
- 3. Convert: Click the convert button to see the result
- 4. Copy Result: Click "Copy" to copy the converted number to clipboard
- 5. Use Anywhere: Paste the result in your code or application
💡 Conversion Examples
Small Numbers:
Decimal: 10 → Binary: 1010
Common Values:
Decimal: 255 → Binary: 11111111 (8 bits)
Powers of Two:
Decimal: 1024 → Binary: 10000000000
Reverse Conversion:
Binary: 11001 → Decimal: 25
❓ Frequently Asked Questions
Why do computers use binary?
Computers use binary because digital circuits have two stable states: on (1) and off (0). This makes binary the most efficient and reliable way to represent data in electronic systems.
How do I convert decimal to binary manually?
Divide the decimal number by 2 repeatedly, noting the remainder each time. Read the remainders from bottom to top to get the binary equivalent. For example: 13 ÷ 2 = 6 R1, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1 → Binary: 1101
Can I convert negative numbers?
This tool converts positive integers. For negative numbers, computers use two's complement representation, which requires specifying a bit width (8-bit, 16-bit, etc.).
What's the largest number I can convert?
JavaScript can safely handle integers up to 2^53 - 1 (9,007,199,254,740,991). Beyond this, precision may be lost.
Is my data secure?
Yes! All conversions happen entirely in your browser using JavaScript. Your numbers never leave your device or get sent to any server.