Numeral System Converter
Convert numbers between any bases from 2 to 36
Result
🔢 What is a numeral system
A numeral system is a way to write numbers. The same value can look different: 200 in decimal is 11001000 in binary, 310 in octal and C8 in hexadecimal.
The base shows how many distinct digits are used. Decimal uses 0–9; hexadecimal uses 0–9 and A–F.
📚 Main systems
Decimal (10)
Everyday system. Digits 0–9.
Binary (2)
Used in computing. Digits 0 and 1.
Octal (8)
Used in digital electronics. Digits 0–7.
Hexadecimal (16)
Web colours (#FF0000), memory addresses. Digits 0–9 and A–F.
✏️ How to convert
To decimal
Multiply each digit by the base raised to its place power and sum. Example: 5678 = 5×8² + 6×8¹ + 7×8⁰ = 37510.
From decimal
Divide repeatedly by the new base and write remainders in reverse. Example: 37510 → 5678.
Between arbitrary bases
Convert to decimal first, then to the target — the converter shows both steps.
💡 Examples
- 10102 → 1010: 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8 + 2 = 10
- FF16 → 25510: 15×16¹ + 15×16⁰ = 240 + 15 = 255
- 37510 → 5678: division by 8 yields remainders 7, 6, 5
- 110010002 → C816: via decimal: 20010