Convert between binary, octal, decimal and hexadecimal with step-by-step explanation
Format Converter
About This Tool
The Binary to Decimal Converter lets you convert between binary, octal, decimal, and hexadecimal number systems instantly. It provides detailed step-by-step conversion explanations showing how each digit contributes to the result, along with a quick reference table for common values.
Key Features
- Convert between binary, octal, decimal, and hexadecimal
- Step-by-step conversion explanation for learning
- Input from binary, decimal, or hexadecimal
- One-click copy for any conversion result
- Quick reference table for 0–F hex values
- Input validation with clear error feedback
Use Cases
- Learn and verify number base conversions for computer science courses
- Debug binary data in low-level programming and embedded systems
- Convert binary flags and bitmasks to readable decimal values
- Quickly look up hex-to-binary mappings during development
- Verify calculations when working with digital logic circuits
binary
decimal
hex
converter
number-base
Frequently Asked Questions
What is the Binary to Decimal Converter?
The Binary to Decimal Converter is an online Format Converter that converts between binary, octal, decimal and hexadecimal number systems with step-by-step explanation. It runs entirely in your browser with no data sent to any server.
How does binary to decimal conversion work?
Binary to decimal conversion works by multiplying each binary digit by 2 raised to the power of its position, then summing all the results. For example, binary 1010 equals 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 10 in decimal.
Can I convert from hexadecimal or decimal as well?
Yes, the tool supports converting from binary, decimal, and hexadecimal. Simply enter a value in any of the input fields and the results for all number bases will be displayed instantly.
Is the Binary to Decimal Converter free to use?
Yes, the Binary to Decimal Converter is completely free to use. There are no hidden charges, subscriptions, or limitations. All features are available to everyone.
Can I use the Binary to Decimal Converter on my phone?
Yes, the Binary to Decimal Converter is fully responsive and works on all devices including smartphones, tablets, and desktop computers.