Hex to decimal
Input: FF
Result: 255
Number Base Converter
Convert numbers between decimal, hexadecimal, binary, and octal systems instantly. Essential tool for programmers, developers, and computer science students.
Conversion Examples
Decimal255 = FF (hexadecimal)
HexadecimalA = 10 (decimal)
Binary1111 = F (hexadecimal)
Formula and decision logic
Base conversion either divides by the target base repeatedly or expands digits by powers of the original base.
Decimal to base n: repeated division by n
Base n to decimal: sum(digit × n^position)
Worked examples
Decimal to binary
Input: 42
Result: 101010
How to use this calculator
- 1Select the input number base
- 2Enter your number
- 3View the converted values in all other bases instantly
How to read the result
- Hex is compact for reading bytes, while binary is better when you need to inspect bit patterns directly.
- If the converted value grows in length, that is normal when moving from higher bases to lower bases.
Common input mistakes
- Typing letters outside the valid hexadecimal range of A to F.
- Reading the leftmost digit as the smallest place value instead of the largest one.
Frequently asked questions
What number bases are supported?
You can convert between decimal (base 10), hexadecimal (base 16), binary (base 2), and octal (base 8).
Can I convert large numbers?
Yes, the converter handles large numbers accurately for all supported bases.
Is this useful for programming?
Absolutely. Number base conversion is essential for programming, debugging, and understanding computer memory addresses.