Binary Converter - Convert Binary, Decimal, Hex, Octal Online Free

Convert between binary, decimal, hexadecimal, octal, and text formats. Free number base converter with instant results.

Quick Examples

Number Base Converter

Input Type

Input Value

Number Systems Explained

Base Systems

Binary (Base 2): Uses digits 0-1

Octal (Base 8): Uses digits 0-7

Decimal (Base 10): Uses digits 0-9

Hexadecimal (Base 16): Uses 0-9, A-F

Common Uses

• Binary: Computer processing, digital circuits

• Octal: Unix file permissions, legacy systems

• Decimal: Everyday mathematics, human counting

• Hex: Colors, memory addresses, programming

Conversion Examples

Number 255 in Different Bases

Decimal: 255

Binary: 11111111

Hexadecimal: FF

Octal: 377

Text "Hi" as Numbers

H: 72 (decimal), 01001000 (binary)

i: 105 (decimal), 01101001 (binary)

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Multiple Bases

Convert between binary, decimal, hex, and octal.

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Text Support

Convert text to binary and other number formats.

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Instant Results

Real-time conversion as you type.

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Easy Copy

One-click copy for all conversion results.

Frequently Asked Questions

What is binary and why is it important?

Binary is a base-2 number system using only 0s and 1s. It's fundamental to computing because digital circuits can easily represent these two states (on/off, high/low voltage). All computer data is ultimately stored and processed in binary.

How do I convert decimal to binary manually?

To convert decimal to binary, repeatedly divide by 2 and track remainders. For example, 13 ÷ 2 = 6 remainder 1, 6 ÷ 2 = 3 remainder 0, 3 ÷ 2 = 1 remainder 1, 1 ÷ 2 = 0 remainder 1. Reading remainders bottom-up: 1101.

What's the difference between hex and decimal?

Decimal uses base 10 (digits 0-9), while hexadecimal uses base 16 (digits 0-9 and letters A-F). Hex is commonly used in programming because it's more compact than binary and easier to read than long binary strings.

Can I convert text to binary?

Yes! Each character has an ASCII code (decimal number), which can be converted to binary. For example, 'A' has ASCII code 65, which is 01000001 in binary. Our tool handles this conversion automatically.

Why would I need octal numbers?

Octal (base 8) is used in Unix file permissions, some programming contexts, and legacy computer systems. It's less common than binary, decimal, or hex, but still important for certain technical applications.