Conversion

Number Base Converter

Convert a decimal number into binary, hexadecimal and octal.

Calculated Output

Binary 11111111

Hexadecimal FF

Octal 377

Formula: repeatedly divide by the base and read the remainders

Step-by-Step Breakdown

1. Values used:

2. Decimal number = 255

4. Binary = 11111111

5. Hexadecimal = FF

6. Octal = 377

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The math behind it

To convert to base b, divide by b repeatedly and collect the remainders from last to first. Binary uses 0–1, octal 0–7, hex 0–9 and A–F.

255 → binary 11111111, hex FF, octal 377.

Why is hex used in computing?

Each hex digit maps to exactly 4 binary bits, making long binary values compact and readable.