Number Base Converter - Binary, Octal, Decimal, Hex

Number base conversion is one of those fundamental skills every developer needs but rarely wants to do by hand. Our Number Base Converter provides instant, bidirectional conversion between the four most common bases: binary, octal, decimal, and hexadecimal.

What makes this tool special is its synchronous design. All four number fields are live — type or paste a value into any base, and the other three update instantly. No buttons to click, no page reloads. This is perfect for quickly checking your work during interviews, debugging bit manipulation code, or converting color values.

The tool handles integers of any reasonable size, negative numbers, and validates input as you type. Invalid characters (like letters in the binary field) are simply ignored, keeping the conversion smooth and error-free.

Common use cases: converting hex color codes to RGB, understanding binary flags in permission systems, reading octal file permissions (chmod), or quickly verifying bitwise operations during development.

Fórmula
Binary = (num).toString(2) | Octal = (num).toString(8) | Hex = (num).toString(16).toUpperCase()

Perguntas Frequentes

What is the difference between binary, octal, decimal, and hexadecimal?
They are different number bases. Decimal (base 10) uses digits 0-9. Binary (base 2) uses only 0 and 1 — fundamental to all computing. Octal (base 8) uses 0-7. Hexadecimal (base 16) uses 0-9 and A-F, commonly used for memory addresses and color codes.
Why is hexadecimal so common in programming?
Hex is compact and maps cleanly to binary: each hex digit represents exactly 4 binary bits (a nibble). Two hex digits make one byte. This makes hex ideal for representing memory addresses, byte values, and RGB colors (#FF5733 = RGB 255, 87, 51).
How do I convert between bases manually?
To convert decimal to another base: divide repeatedly by the base, collecting remainders from last to first. To convert from another base to decimal: multiply each digit by the base raised to its position power, then sum. Or just use our converter!
Can negative numbers be represented in different bases?
Yes — our converter handles negative numbers by prepending a minus sign. In binary representation within fixed-width data types (like 32-bit integers), negative numbers are typically stored using two's complement notation, which is different from a simple minus sign.

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