Convert Decimal to Hexadecimal

Converting decimal to hexadecimal uses the same approach as decimal to binary, but you divide by 16 instead of 2. After each division, remainders from 10-15 are written as letters A-F.

Step-by-step example — converting 7531 to hexadecimal:

1. Divide 7531 by 16: quotient = 470, remainder = 11 (B)
2. Divide 470 by 16: quotient = 29, remainder = 6
3. Divide 29 by 16: quotient = 1, remainder = 13 (D)
4. Divide 1 by 16: quotient = 0, remainder = 1

Read remainders bottom to top: 1D6B. So 7531₁₀ = 0x1D6B.

Quick conversion tips:

For small numbers, it helps to memorize key values. The hex digits for 0-15 correspond to 0-9 then A-F. For multiples of 16, the conversions are clean: 16=0x10, 32=0x20, 48=0x30, and so on. Numbers like 255 convert to 0xFF because 255 = 15x16 + 15.

The remainder-to-hex mapping:

Remainder	Hex Digit
0-9	0-9
10	A
11	B
12	C
13	D
14	E
15	F

Verification in code:

In JavaScript, use (7531).toString(16) which returns "1d6b". In Python, hex(7531) returns "0x1d6b". Note that most programming languages produce lowercase hex letters by default. The case does not affect the value.

Decimal-to-hex conversion is essential when setting memory addresses, defining color values in CSS, writing hardware register values, and encoding binary data in a human-readable format. It is one of the most frequently used conversions in software development and systems programming.