How to Use Binary Converter

Key Takeaways

Binary is a base-2 number system using only digits 0 and 1

Hexadecimal (base-16) is used for memory addresses, color codes (#FF5733), byte values, and anywhere compact representation of binary data is needed

Octal (base-8) is most commonly used for Unix/Linux file permissions (e

The converter works reliably with values that fit in a JavaScript 32-bit safe integer

What is Binary Converter?

Binary Converter is a free tool that translates numbers between the four most important number bases: binary (base-2), decimal (base-10), hexadecimal (base-16), and octal (base-8). Enter a value in any base and all other representations update instantly.

Every digital system internally uses binary. Hex is just a human-friendly shorthand for binary — each hex digit represents exactly 4 binary bits.

The Four Number Bases

Binary (Base 2)

Uses only 0 and 1. Each position is a power of 2. The native language of CPUs, memory, and logic gates.

Decimal (Base 10)

The everyday number system. Uses digits 0–9. What you see in most prices, measurements, and documents.

Hex (Base 16)

Uses 0–9 and A–F. Compact representation of binary. Standard for colors (#RRGGBB) and memory addresses.

Octal (Base 8)

Uses digits 0–7. Used in Unix file permissions (chmod 755) and some legacy embedded systems.

Enter a value

Type any number into one of the four fields — binary, decimal, hex, or octal.

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See all bases

The other three fields update instantly with the equivalent value in each base.

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Copy any result

Click the copy icon next to any field to copy that representation to your clipboard.

Understanding the Conversions

The same number represented in all four bases:

Decimal	Binary	Hex	Octal
10	1010	A	12
16	10000	10	20
255	11111111	FF	377
256	100000000	100	400

Each hex digit represents 4 binary bits, making hex a convenient shorthand for reading binary values.

Tips & Common Mistakes

Hex prefix conventions. In code, hex values are often written with a 0x prefix (e.g. 0xFF). The converter accepts values with or without this prefix.

Don’t confuse octal zero-padding with octal notation. In C and many languages, a leading zero means octal — 010 is decimal 8, not 10. Binary Converter makes this explicit so you always know what base you’re working in.

Binary digits increase right-to-left in significance. The rightmost bit is the least significant (value 1), and each bit to the left doubles in value (2, 4, 8, 16…).

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Frequently Asked Questions

What is binary?

Binary is a base-2 number system using only digits 0 and 1. It is the fundamental representation used by all digital computers internally.

When is hexadecimal used?

Hexadecimal (base-16) is used for memory addresses, color codes (#FF5733), byte values, and anywhere compact representation of binary data is needed.

What is octal used for?

Octal (base-8) is most commonly used for Unix/Linux file permissions (e.g. chmod 755) and in some legacy embedded systems.

What is the largest number the converter handles?

The converter works reliably with values that fit in a JavaScript 32-bit safe integer. For very large numbers, use a dedicated big-integer library.

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