Free Toolkit

Binary to DecimalConvert binary numbers to decimal (base-10) representation.

Binary to Decimal illustration
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Binary to Decimal

Convert binary numbers to decimal (base-10) representation.

How to Use
1

Enter Binary

Type or paste the binary number (0s and 1s).

2

View Decimal

The decimal equivalent appears instantly.

3

Copy Result

Click Copy to copy the decimal value.

What Is Binary to Decimal?

This tool converts binary (base-2) numbers to decimal (base-10). Binary is the fundamental number system of computing, using only 0 and 1. Each bit represents a power of 2. For example, binary 1101 equals 1*8 + 1*4 + 0*2 + 1*1 = 13 in decimal. Supports arbitrarily large binary numbers using BigInt. Spaces in input are stripped for readability. All processing is client-side.

Why Use Our Binary to Decimal?

  • Instant conversion from binary to decimal
  • Supports arbitrarily large numbers via BigInt
  • 100% client-side — data never leaves your browser
  • Free online tool with clear error messages

Common Use Cases

Programming

Convert binary values for debugging and analysis.

Computer Science

Practice number system conversions.

Networking

Convert subnet masks and IP addresses.

Digital Electronics

Convert register values and memory addresses.

Technical Guide

Binary to decimal multiplies each bit by its positional power of 2 and sums. For large numbers, uses BigInt: iterating left to right, result = result * 2n + BigInt(bit). Input validation ensures only 0, 1, and spaces are present.

Tips & Best Practices

  • 1
    Spaces in binary input are ignored for readability
  • 2
    Supports very large binary numbers using BigInt
  • 3
    Only 0 and 1 are valid binary digits
  • 4
    Common values: 8 bits = 0-255, 16 bits = 0-65535

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Frequently Asked Questions

QIs this tool free?
Yes, completely free with no signup required.
QIs my data secure?
Yes. All processing is 100% client-side.
QIs there a size limit?
No practical limit — BigInt handles arbitrarily large numbers.
QWhat browsers are supported?
All modern browsers including Chrome, Firefox, Safari, and Edge.
QCan I include spaces in binary?
Yes, spaces are automatically stripped.

About Binary to Decimal

Binary to Decimal is a free online tool from FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration required. No ads. Just fast, reliable tools.