Decimal to Hexadecimal Converter

Convert decimal numbers to hexadecimal instantly with step-by-step explanations.

From Base

Decimal (Base 10)

To Base

Hexadecimal (Base 16)

Enter Decimal Number

Result:

...

How it's done:

Common Decimal to Hexadecimal Examples

255₁₀ = FF₁₆

255 ÷ 16 = 15 remainder 15
15 ÷ 16 = 0 remainder 15
F = 15 in hex

1000₁₀ = 3E8₁₆

1000 ÷ 16 = 62 remainder 8
62 ÷ 16 = 3 remainder 14
3 ÷ 16 = 0 remainder 3
E = 14 in hex

65535₁₀ = FFFF₁₆

Largest 16-bit number
All positions filled with F (15)

4096₁₀ = 1000₁₆

4096 ÷ 16 = 256 remainder 0
256 ÷ 16 = 16 remainder 0
16 ÷ 16 = 1 remainder 0
1 ÷ 16 = 0 remainder 1

Frequently Asked Questions

What is hexadecimal?

Hexadecimal is a base-16 number system that uses sixteen symbols: 0-9 and A-F. It's commonly used in computing because it can represent large numbers more compactly than binary and is easier to convert to and from binary than decimal.

How do I convert decimal to hexadecimal?

To convert decimal to hexadecimal, repeatedly divide the decimal number by 16 and record the remainders. Convert remainders 10-15 to letters A-F, then read from bottom to top.

Why use hexadecimal in programming?

Hexadecimal is widely used in programming for memory addresses, color codes, and binary data representation. It's easier to read than binary and provides a compact way to represent 4 bits (a nibble) with a single character.