Decimal to Binary Converter

Convert any decimal (base-10) number to binary (base-2), octal and hexadecimal — with the step-by-step division method shown.

What Does This Tool Do?

Convert any decimal number to binary (base-2) with the full repeated division method shown step by step. Also shows octal and hexadecimal equivalents simultaneously.

Key Features

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3 Bases
Binary, octal and hex shown together.
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Step-by-Step
Division method shown clearly.
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Live
Updates as you type.
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Copy Binary
One-click copy of the result.

How to Use

  1. Enter any non-negative decimal (base-10) integer.
  2. Binary, octal and hex appear instantly.
  3. Read the division steps to understand the conversion.
  4. Click Copy Binary to copy the result.

Frequently Asked Questions

How do you convert decimal to binary?▾
Repeatedly divide by 2 and record the remainder (0 or 1). Read the remainders from bottom to top. Example: 13 ÷ 2 = 6 r1, 6 ÷ 2 = 3 r0, 3 ÷ 2 = 1 r1, 1 ÷ 2 = 0 r1 → binary = 1101.
What is binary?▾
Binary is base-2 — it uses only digits 0 and 1. Every number is represented as a sum of powers of 2. All modern computers process data in binary.
Can I convert negative numbers?▾
Binary representation of negative numbers requires a specific bit-width and encoding (e.g. two's complement). This tool converts non-negative integers only.