Binary ⇄ Decimal Converter

Free real-time bidirectional conversion tool. Instantly convert between binary and decimal systems with precision.

Welcome to our Binary to Decimal Converter - a powerful, free online tool that provides instant bidirectional conversion between binary and decimal numeral systems. Perfect for programmers, students, and tech enthusiasts.

This tool eliminates the need for manual calculations, providing accurate conversions in real-time. Simply enter your binary or decimal value and get immediate results.

Binary to Decimal

Real-time
BIN
DEC

Binary Bits

Decimal to Binary

Real-time
DEC
BIN

Binary Representation

Enter decimal to see binary

Key Features

Real-time Conversion

Get instant results as you type with our bidirectional converter.

Input Validation

Smart validation ensures only valid inputs are processed.

Visual Representation

See the binary bits visualized for better understanding.

Frequently Asked Questions

What is this tool used for?

This tool allows you to convert between binary (base-2) and decimal (base-10) numeral systems. It's especially useful for programmers, computer science students, and anyone working with digital systems.

How does binary to decimal conversion work?

Each digit in a binary number represents a power of 2. The rightmost digit is 20 (1), the next is 21 (2), then 22 (4), and so on. Multiply each digit by its corresponding power of 2 and sum the results to get the decimal equivalent.

Is there a limit to the numbers I can convert?

The converter can handle very large numbers, but extremely large values may cause performance issues. For practical purposes, it handles all reasonable values you might encounter in programming and computer science.

Is this tool completely free to use?

Yes, our binary to decimal converter is 100% free to use with no registration required. There are no hidden fees or limitations.

How to Use This Converter

For Binary to Decimal Conversion

  1. Enter a binary number in the left input field (e.g., 1101)
  2. The decimal equivalent will appear instantly below
  3. You'll see a visual representation of each binary bit
  4. Click on bits to toggle between 0 and 1 and see real-time changes

For Decimal to Binary Conversion

  1. Enter a decimal number in the right input field (e.g., 25)
  2. The binary equivalent will appear instantly below
  3. You'll see the binary representation formatted for clarity
  4. Large numbers will be displayed with space separators