Decimal to Hex Converter

How to Convert Decimal to Hexadecimal

Converting decimal to hexadecimal by hand is straightforward once you know the routine. The converter above does it instantly, but working through the steps yourself is the fastest way to understand what is actually happening to the digits.

1. Divide the decimal number by 16 and write down the quotient and the remainder.
2. Divide the new quotient by 16 again, recording each remainder as you go.
3. Repeat until the quotient reaches 0.
4. Read the remainders from the bottom up. That sequence is the hexadecimal result.

Worked example: 2014

Result: (2014)¹⁰ = (7DE)¹⁶

The Decimal System

Decimal is the base 10 system that almost every human culture settled on, most likely because we have ten fingers. It uses the digits 0 through 9, and each position is worth ten times the position to its right. The number 2345.67 means 2 thousands, 3 hundreds, 4 tens, 5 ones, 6 tenths, and 7 hundredths. It is the default for everything people read, which is why converting to and from decimal is the most common base conversion a programmer performs.

Decimal uses the digits 0 through 9.

The Hexadecimal System

Hexadecimal is the base 16 system. It uses the digits 0 through 9 and then the letters A through F to stand for the values 10 through 15. Its key property is that one hex digit represents exactly four binary digits, a nibble, so a single byte is always two hex characters. That compactness is why hex shows up everywhere in computing: HTML colour codes such as FFFFFF for white and 000000 for black, memory addresses, MAC addresses, hash digests, and byte level debugging output.

Hexadecimal uses the digits 0 through 9 and A through F.

Decimal to Hexadecimal Conversion Examples

Decimal to Hexadecimal Conversion Chart

A full reference table for the values 1 to 256. Use it to check a conversion quickly or to look up a common value without typing anything.

Need a different pair of bases? Browse every number converter tool including binary, octal, decimal, and hexadecimal in both directions.