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

What Is Binary to Decimal?

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

Why Use 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

Q Is this tool free?

Yes, completely free with no signup required.

Q Is my data secure?

Yes. All processing is 100% client-side.

Q Is there a size limit?

No practical limit — BigInt handles arbitrarily large numbers.

Q What browsers are supported?

All modern browsers including Chrome, Firefox, Safari, and Edge.

Q Can I include spaces in binary?

Yes, spaces are automatically stripped.

About This Tool

Binary to Decimal is a free online tool by FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration or installation required.