Number Base Converter

Convert numbers between binary, octal, decimal and hexadecimal instantly.

Configuration Parameters

Decimal (base 10)

Hexadecimal (base 16)

Binary (base 2)

Octal (base 8)

Knowledge Base & Educational Companion: Positional Number Systems

Every base represents the same quantity using a different set of digits and place values. Converting between them is essential in programming, networking and digital logic.

1. Why Different Bases

Binary maps directly to on/off hardware states, hexadecimal compresses long binary strings for readability, and octal groups bits in threes. Decimal remains the human default.

2. Place Value

In any base b, each position is worth b raised to its index. Base-16 'FF' equals 15×16 + 15 = 255, the same value as binary 11111111.

3. Common Uses

Colors, memory addresses, file permissions and IP math all rely on base conversion. Switching bases reveals the underlying bit patterns clearly.

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