Convert Decimal to Binary Convert decimal numbers to binary (base-2) representation.

What Is Decimal to Binary?

This tool converts base-10 numbers to base-2 (binary). The representation is fundamental to computing. The conversion repeatedly divides by 2 and collects remainders. For example, 13 gives remainders 1,0,1,1 reading bottom-up = 1101. Supports arbitrarily large numbers using BigInt and handles zero correctly. All processing is client-side.

Why Use Decimal to Binary?

• Instant conversion from decimal to binary
• Supports arbitrarily large numbers via BigInt
• 100% client-side — data never leaves your browser
• Free online tool with no limits

Common Use Cases

Programming

Convert decimal values for bitwise operations.

Computer Science

Practice number system conversions.

Networking

Convert IP addresses and subnet masks.

Digital Design

Convert values for digital circuit design.

Technical Guide

The algorithm: repeatedly divide by 2 and record remainders read in reverse. For large numbers, BigInt division: while value > 0, remainder = value % 2n, value = value / 2n. Zero is represented as "0". Output can be grouped in 4-bit or 8-bit chunks.

Tips & Best Practices

• 1
  Zero converts to binary '0'
• 2
  Supports very large decimal numbers using BigInt
• 3
  Common conversions: 255 = 11111111, 256 = 100000000
• 4
  Use 8-bit grouping for byte visualization

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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 Does it handle negative numbers?

Enter positive integers. For negative, consider two's complement.

About This Tool

Decimal to Binary 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.