Convert decimal numbers to hexadecimal or binary instantly. The tool validates your input, supports very large integers, and shows clear conversion steps.
Enter a decimal integer and choose whether to convert it to hexadecimal or binary. Decimal input uses digits 0–9.
The explanation updates as you type. For very large numbers, the tool keeps the result exact and summarizes the method instead of displaying an overly long step list.
BigInt for integer conversion, so large whole numbers are handled exactly instead of being rounded like regular floating-point numbers.
The decimal system is the everyday base-10 number system. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
The hexadecimal system is base-16. It uses digits 0–9 plus the letters A, B, C, D, E and F, where A equals 10 and F equals 15.
The binary system is base-2 and uses only 0 and 1. Computers use binary internally, while hexadecimal is often used as a compact way to write binary data.
To convert decimal to hexadecimal, repeatedly divide the decimal number by 16 and record the remainder. Remainders 10 through 15 become A through F.
462 ÷ 16 = 28 remainder 14 = E
28 ÷ 16 = 1 remainder 12 = C
1 ÷ 16 = 0 remainder 1
Result: 1CE₁₆
So decimal 462 converts to hexadecimal 1CE.
To convert decimal to binary, repeatedly divide the decimal number by 2 and record the remainder. The binary result is the remainders read from bottom to top.
42 ÷ 2 = 21 remainder 0
21 ÷ 2 = 10 remainder 1
10 ÷ 2 = 5 remainder 0
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Result: 101010₂
So decimal 42 converts to binary 101010.
Decimal to hexadecimal conversion is common in programming, debugging, color values, memory addresses, Unicode code points and low-level data inspection.
For example, decimal 255 is FF in hexadecimal. In an RGB color code, FF represents the maximum value of a color channel.