Decimal To Hex Converter
Enter the decimal value to convert to hexadecimal or Hexadecimal to Decimal.
Decimal:
Decimal numbers use the familiar Base-10 system with digits 0-9.
Hexadecimal:
Hexadecimal (Base-16) is essential in programming for representing colors (#FF5733), memory addresses, and byte values.
How to Convert Decimal to Hexadecimal — Formula:
Repeatedly divide by 16, record remainders (0-9 as digits, 10-15 as A-F). Read from bottom to top.
Example: 255 ÷ 16 = 15 R15(F), 15 ÷ 16 = 0 R15(F) → Hex: FF.
Technical Details:
Hex is used in: CSS colors (#RRGGBB), MAC addresses (00:1A:2B:3C:4D:5E), IPv6 addresses, Unicode code points (U+0041 = "A"), and memory dumps.
Decimal To Hex Converter:
Convert decimal numbers to hexadecimal format. Useful for web development, programming, and digital electronics.
Hexadecimal to Decimal: Positional Notation
Frequently Asked Questions
How do I convert Decimal to Hexadecimal?
Repeatedly divide by 16, record remainders (0-9 as digits, 10-15 as A-F). Read from bottom to top.
What is the Decimal number system?
Decimal numbers use the familiar Base-10 system with digits 0-9.
What is the Hexadecimal number system?
Hexadecimal (Base-16) is essential in programming for representing colors (#FF5733), memory addresses, and byte values.
Where is Decimal to Hexadecimal conversion used?
Hex is used in: CSS colors (#RRGGBB), MAC addresses (00:1A:2B:3C:4D:5E), IPv6 addresses, Unicode code points (U+0041 = "A"), and memory dumps.
Can I convert large decimal numbers?
Yes. This converter handles numbers of any practical size. For very large numbers, the conversion is performed using arbitrary-precision arithmetic to ensure accuracy.
How to Convert Decimal to Hexadecimal (Base-10 to Base-16)
Converting decimal to hex is essential for web development (color codes), systems programming (memory addresses), and embedded development (register values). The process uses repeated division by 16, similar to decimal-to-binary but with a larger base.
- Divide the decimal number by 16. Record the remainder.
- If the remainder is 10-15, use the letter A-F.
- Divide the quotient by 16 again. Record the remainder.
- Repeat until the quotient is 0.
- Read remainders from bottom to top for the hex result.
- Example: 255 ÷ 16 = 15 R15(F), 15 ÷ 16 = 0 R15(F) → FF₁₆.
Decimal to Hex: Web and Programming Values
Common decimal values and their hex equivalents used in programming:
| Input | Output |
|---|---|
| 10 | 0xA |
| 16 | 0x10 |
| 100 | 0x64 |
| 127 | 0x7F |
| 192 | 0xC0 |
| 255 | 0xFF |
| 256 | 0x100 |
| 65535 | 0xFFFF |
Solved Examples: Decimal to Hex
Question 1: A web designer wants the decimal RGB value (0, 128, 255) in hex for CSS.
Solution:
Red: 0 ÷ 16 = 0 R0 → 00
Green: 128 ÷ 16 = 8 R0 → 80
Blue: 255 ÷ 16 = 15(F) R15(F) → FF
Answer: RGB(0, 128, 255) = #0080FF — a bright sky blue color.
Question 2: Convert memory address 49152 to hexadecimal.
Solution:
49152 ÷ 16 = 3072 R0
3072 ÷ 16 = 192 R0
192 ÷ 16 = 12(C) R0
12 ÷ 16 = 0 R12(C)
Read bottom-to-top: C000
Answer: 49152₁₀ = 0xC000 — the start of a 16 KiB memory bank in 8-bit computers.
Question 3: An HTTP status code is 404. Express in hexadecimal.
Solution:
404 ÷ 16 = 25 R4
25 ÷ 16 = 1 R9
1 ÷ 16 = 0 R1
Read bottom-to-top: 194
Answer: 404₁₀ = 0x194 — though HTTP uses decimal, hex is useful when encoding status codes in binary protocols.
Practice: Decimal to Hex
Try solving these on your own to test your understanding:
- Convert 175 to hex. (Answer: 0xAF)
- Convert 1024 to hex. (Answer: 0x400)
- Convert 31 to hex. (Answer: 0x1F)
- Convert 3735928559 to hex. (Answer: 0xDEADBEEF)
- Convert 240 to hex. (Answer: 0xF0)
Hex Colors in Web Development
CSS hex colors (#RRGGBB) require converting each RGB channel (0-255) to a two-digit hex value. Common values: 0→00, 128→80, 192→C0, 255→FF. Shorthand colors work when both nibbles match: #FF8800 can be written #F80 (each digit doubled). Designers often adjust hex values directly: increasing the green channel from 80 to A0 adds 32 to the decimal value (128 to 160), noticeably brightening the green component.
Memory Addressing and Hex
Computer memory addresses are always displayed in hex because each hex digit represents 4 address bits. A 32-bit address like 0x08048000 clearly shows alignment (multiple of 0x1000 = 4096-byte page boundary). In decimal, this is 134,512,640 — meaningless to most programmers. Memory maps, linker scripts, and debuggers all use hex because it reveals the binary structure: 0x08048000 = 0000 1000 0000 0100 1000 0000 0000 0000₂.
Key Takeaways
- Repeatedly divide by 16, using A-F for remainders 10-15.
- For single bytes: quotient of ÷16 is high nibble, remainder is low nibble.
- Web colors: convert each RGB channel (0-255) independently to 2 hex digits.
- Memory addresses use hex to reveal binary alignment and page boundaries.
- Common magic: 0xDEADBEEF, 0xCAFEBABE, 0xBAADF00D (debug sentinels).