Decimal to Hexadecimal Converter | Convert Decimal to Hex

Free online decimal to hexadecimal converter. Convert decimal numbers to hex with step-by-step explanations. Includes conversion tables and examples.

Decimal to Hexadecimal Converter

Input

FromTextBinaryHexadecimalDecimalOctal

ToTextBinaryHexadecimalDecimalOctal

Character EncodingUTF-8ASCIIUTF-16

Convert

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Hex Digits (10-15)

Dec: 10

Hex: A

Dec: 11

Hex: B

Dec: 12

Hex: C

Dec: 13

Hex: D

Dec: 14

Hex: E

Dec: 15

Hex: F

Powers of 16

16⁰

= 1

16¹

= 16

16²

= 256

16³

= 4,096

16⁴

= 65,536

Step-by-Step Examples

255₁₀ = FF₁₆

Maximum 8-bit value

255 ÷ 16 = 15 remainder 15 (F)

15 ÷ 16 = 0 remainder 15 (F)

Result: FF

256₁₀ = 100₁₆

Power of 16 (16²)

256 ÷ 16 = 16 remainder 0

16 ÷ 16 = 1 remainder 0

1 ÷ 16 = 0 remainder 1

Result: 100

4095₁₀ = FFF₁₆

Maximum 12-bit value

4095 ÷ 16 = 255 remainder 15 (F)

255 ÷ 16 = 15 remainder 15 (F)

15 ÷ 16 = 0 remainder 15 (F)

Result: FFF

How Decimal to Hex Conversion Works

Division Method

1. Divide the decimal number by 16
2. Convert remainder (0-15) to hex digit (0-F)
3. Divide quotient by 16
4. Repeat until quotient becomes 0
5. Read the hex digits from bottom to top

Tips

• Remember: A=10, B=11, C=12, D=13, E=14, F=15
• Each hex digit represents 4 binary digits
• Two hex digits = one byte

Common Values

255 = FF (max byte)

16 = 10 (single hex digit)

15 = F (max single digit)

256 = 100 (power of 16)

Practice Problems

Convert: 42₁₀

Answer: 2A₁₆

Convert: 160₁₀

Answer: A0₁₆

Convert: 255₁₀

Answer: FF₁₆

Real-World Applications

Color Codes

RGB colors use hex codes:

255, 0, 0 = #FF0000 (Red)
0, 255, 0 = #00FF00 (Green)
0, 0, 255 = #0000FF (Blue)

Memory Addresses

Computer memory addresses are often shown in hex:

65535 = 0xFFFF
4096 = 0x1000
256 = 0x100

Related Conversions

Decimal to Binary

Decimal to Octal

Hex to Decimal

Binary to Hex