Decimal to Hexadecimal Conversion Calculator

The hexadecimal number system is widely used in programming and digital electronics. It's a base-16 system, offering a compact way to represent large binary values and memory addresses. This tool helps you convert any decimal number into hexadecimal format effortlessly.

What Is the Decimal System?

The decimal system is a base-10 number system using digits from 0 to 9. Each digit’s position represents a power of 10.

Example: Decimal 156
= 1×10² + 5×10¹ + 6×10⁰ = 156

What Is the Hexadecimal System?

Hexadecimal (or "hex") is base-16 and includes digits from 0–9 and letters A–F. It is used extensively in computer systems, especially in representing memory locations, colors in web design, and machine code.

Example: 1A3F₁₆ = 1×16³ + A×16² + 3×16¹ + F×16⁰ = 6719

How to Convert Decimal to Hexadecimal

The method is similar to binary or octal conversion, but using base 16:

Divide the decimal number by 16.
Record the remainder (convert 10–15 to A–F).
Continue dividing the quotient by 16 until you reach 0.
Read the remainders from bottom to top for the hexadecimal result.

Example: Convert 255:
255 ÷ 16 = 15 R15 → 15 ÷ 16 = 0 R15
15 = F → Hex = FF₁₆

Decimal to Hexadecimal Conversion Table

Decimal	Hexadecimal
0	0
10	A
15	F
16	10
31	1F
64	40
127	7F
255	FF

Where Hexadecimal Is Used

Memory addressing: RAM addresses and pointers use hex for compact representation.
Color codes: Web colors like #FF5733 are written in hexadecimal.
Machine code: Assembly language and opcodes often use hexadecimal notation.