Decimal to Hex — Convert Instantly or Do It By Hand

To convert decimal to hex, use the free converter below — type any decimal number and the hexadecimal result appears immediately. To do it without a calculator, use the division-by-16 method: divide the decimal number by 16, record the remainder, then divide the quotient again. Repeat until the quotient is zero. Reading the remainders from bottom to top gives the hex value.

How to Convert Decimal to Hex Manually

The division-by-16 method works for any decimal integer:

Example: Convert decimal 1023 to hex

• 1023 ÷ 16 = 63 remainder 15 → F
• 63 ÷ 16 = 3 remainder 15 → F
• 3 ÷ 16 = 0 remainder 3 → 3
• Read remainders bottom-to-top: 3FF

Remember that remainders above 9 map to letters: 10=A, 11=B, 12=C, 13=D, 14=E, 15=F.

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

Worked Examples

Walk through these examples, then verify each in the tool:

Example 1: Decimal 255 to hex

• 255 ÷ 16 = 15 remainder 15 → F
• 15 ÷ 16 = 0 remainder 15 → F
• Result: FF

Example 2: Decimal 4096 to hex

• 4096 ÷ 16 = 256 remainder 0 → 0
• 256 ÷ 16 = 16 remainder 0 → 0
• 16 ÷ 16 = 1 remainder 0 → 0
• 1 ÷ 16 = 0 remainder 1 → 1
• Result: 1000

Example 3: Decimal 65535 to hex

• 65535 ÷ 16 = 4095 remainder 15 → F
• 4095 ÷ 16 = 255 remainder 15 → F
• 255 ÷ 16 = 15 remainder 15 → F
• 15 ÷ 16 = 0 remainder 15 → F
• Result: FFFF

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Quick Reference — Common Decimal to Hex Values

Decimal	Hex	Notes
10	A	Single hex digit
15	F	Max single digit
16	10	First 2-digit hex
32	20	Space in ASCII
127	7F	Max signed byte
255	FF	Max byte value
256	100	First 3-digit hex
1024	400	1 KB
4096	1000	4 KB page
65535	FFFF	Max 16-bit value

Converting Hex to Decimal — The Reverse

To convert hex back to decimal, multiply each digit by its place value (powers of 16) and sum:

Example: Hex 2AF to decimal

• F (15) × 16⁰ = 15 × 1 = 15
• A (10) × 16¹ = 10 × 16 = 160
• 2 × 16² = 2 × 256 = 512
• Sum: 15 + 160 + 512 = 687

For any value, the Number Base Converter handles both directions — select Decimal to convert to hex, select Hexadecimal to convert back.

Frequently Asked Questions

What is decimal 255 in hexadecimal?

Decimal 255 = hex FF. This is the maximum value that fits in one byte (8 bits). It appears constantly in programming — as the max byte value, in color codes (255 = full intensity in RGB), and as a bitmask.

How do you convert a decimal fraction to hex?

This tool converts integers only. For fractional decimal-to-hex conversion (like converting 0.5 to hex), the manual method involves multiplying the fractional part by 16 repeatedly. Most practical programming scenarios only require integer conversion.

What is the hex value of 10 in decimal?

Decimal 10 = hex A. Single-digit hex values only go up to F (15 in decimal). Decimal 16 = hex 10 — the first two-digit hex value, which can be confusing at first glance.