Ultimate Numbers Converter
Convert between binary, decimal, hexadecimal & octal instantly with our powerful tool
About Our Number Converter
The most advanced online conversion tool for developers and engineers
Precision Engine
Our converter uses advanced algorithms to ensure 100% accurate conversions every time, handling numbers up to 64-bit precision.
Smart Detection
Automatically recognizes input format (binary, hex, etc.) with intelligent prefix detection, saving you time and clicks.
Conversion History
Your recent conversions stay visible for reference, making it easy to compare values without re-entering numbers.
How It Works
Enter Your Number
Type or paste any number in decimal, binary (with 0b prefix), hexadecimal (with 0x), or octal (with leading 0) format.
Select Format (Optional)
Choose the input format manually if our smart detection doesn’t recognize your number correctly.
Get Instant Results
View your number converted to all four formats simultaneously. Copy any result with a single click.
Why Choose Our Converter
The best tool for all your number conversion needs
Lightning Fast
Get conversions instantly without page reloads or waiting time, optimized for maximum performance.
Mobile Friendly
Works perfectly on all devices from desktops to smartphones with a responsive, touch-friendly interface.
No Limits
Convert as many numbers as you need with no restrictions, ads, or paywalls – completely free.
Privacy Focused
All conversions happen in your browser – we never see, store, or transmit your data.
Conversion Formulas
Understand the math behind number system conversions
Example Conversion
See how we convert the decimal number 255 to all formats
Starting Value:
255 (decimal)
To Binary:
255 ÷ 2 = 127 remainder 1
127 ÷ 2 = 63 remainder 1
63 ÷ 2 = 31 remainder 1
31 ÷ 2 = 15 remainder 1
15 ÷ 2 = 7 remainder 1
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Result: 0b11111111
Starting Value:
0b11111111 (binary)
To Decimal:
(1×128)+(1×64)+(1×32)+(1×16)+(1×8)+(1×4)+(1×2)+(1×1)
= 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1
Result: 255
Starting Value:
255 (decimal)
To Hexadecimal:
255 ÷ 16 = 15 remainder 15 (F)
15 ÷ 16 = 0 remainder 15 (F)
Result: 0xFF
Starting Value:
255 (decimal)
To Octal:
255 ÷ 8 = 31 remainder 7
31 ÷ 8 = 3 remainder 7
3 ÷ 8 = 0 remainder 3
Result: 0377
Current Limitations
What our converter can’t do (yet!)
No Floating Point
Currently supports only integer values (whole numbers)
No Negative Numbers
Positive integers only at this time
64-bit Limit
Maximum value: 9,223,372,036,854,775,807
Coming Soon:
- Floating point support
- Negative number handling
- Custom base conversions
Number System Tips
Expert advice for working with different bases
- Memorize powers of 2 up to 216 (65,536)
- Rightmost bit is LSB (Least Significant Bit)
- Leftmost bit is MSB (Most Significant Bit)
- Common values: 0b10000000 = 128, 0b11111111 = 255
- Hex digits A-F = decimal 10-15
- Two hex digits = one byte (00 to FF = 0 to 255)
- Common values: 0xFF = 255, 0x80 = 128, 0x7F = 127
- Used in CSS colors, memory addresses, MAC addresses
- Each digit represents exactly 3 binary digits
- Common in Unix file permissions (chmod)
- Maximum digit is 7 (since it’s base-8)
- Leading zero identifies octal numbers
Common Use Cases
Where number conversions matter most
Pro Tips
Advanced techniques from the experts
Keyboard Shortcuts
Press Enter after typing your number to convert instantly without clicking the button.
Prefix Awareness
Always use standard prefixes (0b, 0x) to avoid ambiguity in your code and documents.
Copy-Paste Efficiency
Click any result to copy it to clipboard – no need to manually select text.
Large Number Strategy
Break very large numbers into 32-bit chunks for easier mental verification.
Best Practices
Recommended approaches for number conversions
Verify Critical Conversions
Double-check important values even when using automated tools.
Use Consistent Notation
Stick to standard prefixes (0x, 0b) in your work to avoid confusion.
Understand Data Ranges
Know the maximum values for different data types (8-bit, 16-bit, etc.).
Comment Your Code
When using non-decimal literals, add comments explaining the value.
User Testimonials
What our users say about the converter
This tool saved me countless hours during my computer architecture exams. The multiple format display is perfect for verifying my answers.
As an embedded systems engineer, I use this converter daily. It’s become an indispensable part of my debugging toolkit.
I recommend this converter to all my programming students. The clean interface and instant results make it perfect for learning.
Frequently Asked Questions
Everything you need to know
How accurate is the converter?
Our converter provides mathematically precise conversions using exact algorithms. It handles numbers up to 64 bits with perfect accuracy.
Does it support floating point numbers?
Currently, the converter only supports integer values. Floating point support is planned for a future update.
Can I convert negative numbers?
The current version processes positive integers only. Negative number support is coming soon.
Why use prefixes (0x, 0b)?
Prefixes eliminate ambiguity. For example, “10” could be decimal 10, binary 2, or hex 16 – the prefix makes it clear.
Is there an API available?
Not currently, but we’re developing an API for developers who want to integrate conversion functionality.
Streamline Your Number Conversions
Our free online Numbers Converter is designed to make your work with different number systems effortless and efficient. Whether you’re debugging code, studying computer science, or working with hardware configurations, having instant access to accurate conversions between binary, decimal, hexadecimal, and octal formats will save you time and reduce errors.
With its clean interface, smart automatic detection, and comprehensive results display, this tool has become essential for thousands of developers, students, and engineers worldwide. We’re constantly improving it based on user feedback, so if you have suggestions, please let us know!
Ready to Convert Numbers Like a Pro?
Try our converter now – it’s free, instant, and requires no registration!
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