Convert Binary, Decimal, Hex Instantly – Fast & Accurate
Binary Decimal Hexadecimal Converter Free
🔢 Number Base Converter
Binary
Base 2
Uses only digits 0 and 1. Each position represents a power of 2.
Decimal
Base 10
Standard number system using digits 0-9. Most commonly used.
Hexadecimal
Base 16
Uses digits 0-9 and letters A-F. Commonly used in programming.
📊 32-Bit Binary Representation
Click on bits to toggle them manually
⚡ Quick Actions
📚 Common Number Examples
Decimal: 255
Binary:
11111111
Hex:
FF
Decimal: 1024
Binary:
10000000000
Hex:
400
Decimal: 65535
Binary:
1111111111111111
Hex:
FFFF
Decimal: 16777215
Binary:
111111111111111111111111
Hex:
FFFFFF
About This Tool
Early Prime Day deals: Top 5 Amazon finds under $100
1. INSIGNIA 32″ Class F20 Series Smart HD Fire TV
2. Govee RGBIC Floor Lamp LED Corner Lamp
3. Portable Air Conditioner Evaporative Air Cooler
4. MARBERO Portable Power Station 88.8Wh Solar Generator 150W
5. EUHOMY Countertop Ice Maker Machine
Our Binary Decimal Hexadecimal Converter is a powerful, free tool that converts numbers between binary (base 2), decimal (base 10), and hexadecimal (base 16) number systems. Perfect for programmers, computer science students, and anyone working with different number bases.
This tool processes all conversions entirely in your browser, ensuring complete privacy and security. No data is sent to any server, and all calculations happen locally on your device with real-time updates and interactive bit manipulation.
Key Features
Real-time Conversion
Instant conversion between binary, decimal, and hexadecimal
Visual Bit Display
Interactive 32-bit representation with clickable bits
Quick Actions
Preset values and random number generation
Input Validation
Real-time validation for each number system
Mobile Friendly
Works perfectly on all devices and screen sizes
100% Private
All processing happens locally in your browser
How to Use
- Enter a Number: Type a number in any of the three input fields (binary, decimal, or hexadecimal)
- View Conversions: The other two fields will automatically update with the converted values
- Use Bit Display: See the 32-bit binary representation and click individual bits to toggle them
- Try Quick Actions: Use preset buttons for common values, random numbers, or powers of 2
- Copy Results: Use the copy button to copy all converted values to your clipboard
- Validate Input: The tool will highlight invalid characters and show error messages
Supported Ranges: 32-bit unsigned integers (0 to 4,294,967,295), Binary (0-1), Decimal (0-9), Hexadecimal (0-9, A-F)
Frequently Asked Questions
What are binary, decimal, and hexadecimal number systems?
Binary (base 2) uses only digits 0 and 1, commonly used in computer systems. Decimal (base 10) is our standard number system using digits 0-9. Hexadecimal (base 16) uses digits 0-9 and letters A-F, often used in programming for representing colors, memory addresses, and binary data in a more compact form.
Why is hexadecimal used in programming?
Hexadecimal is popular in programming because it provides a more compact way to represent binary data. Each hex digit represents exactly 4 binary digits (bits), making it easier to read and write than long binary strings. It's commonly used for memory addresses, color codes (like #FF0000 for red), and debugging.
What is the maximum number this converter can handle?
This converter handles 32-bit unsigned integers, which means it can convert numbers from 0 to 4,294,967,295 (2³² - 1). This covers most common use cases in programming and computer science. The bit display shows all 32 bits for educational purposes.
How do I read the bit representation?
The bit display shows 32 bits from left to right, with the leftmost bit being the most significant (highest value) and the rightmost being the least significant (lowest value). Each position represents a power of 2, starting from 2⁰ = 1 on the right up to 2³¹ on the left. You can click on any bit to toggle it between 0 and 1.
What happens if I enter an invalid character?
The converter validates input in real-time. For binary, only 0 and 1 are allowed. For decimal, only digits 0-9 are accepted. For hexadecimal, digits 0-9 and letters A-F (case insensitive) are valid. Invalid characters will be highlighted, and the input field will show an error state.
Can I use this for negative numbers?
This converter is designed for unsigned integers (positive numbers only). For negative numbers, you would need to understand two's complement representation, which is a more advanced topic. This tool focuses on the fundamental concepts of number base conversion.
Operation completed successfully!