Calculator/Computer Calculator/ Base Calculator

Base Converter Calculator

Easily convert between binary, octal, decimal, and hexadecimal. Real-time conversion included.

Base Converter


Bit Visualization

Understanding Number Bases


Concepts
Conversion Steps
Practical Examples

Binary (Base-2)

Uses only 0 and 1—the computer’s native language.

Octal (Base-8)

Uses digits 0–7; common for Unix/Linux file permissions.

Decimal (Base-10)

Uses digits 0–9—the system we use every day.

Hexadecimal (Base-16)

Uses digits 0–9 and letters A–F; found in memory addresses, color codes, and more.

How to Convert Bases

Memory Address Notation

Memory location in hex: 0x7FFF

Color Code

HTML/CSS: #FF0000 (Red)

File Permissions (Unix/Linux)

rwxr-xr-x = 755(8)

Frequently Asked Questions (FAQ)


What do the letters A–F mean in hexadecimal?

Hexadecimal needs 16 symbols, so after 0–9 we use A(10), B(11), C(12), D(13), E(14), F(15).

Is there a quick way to convert directly between binary and hexadecimal?

Yes. Four binary digits equal one hex digit. Example: 1010₂ = A₁₆

Does base notation vary by programming language?

Yes. Binary: 0b1010, Octal: 0o77, Hex: 0xFF, Decimal: 42, etc.

How are negative numbers represented in binary?

Most computer systems use two’s complement.