What this conversion means in practice
Hexadecimal packs four bits per digit, so it is the standard shorthand for bytes (00–FF), color channels, and memory addresses.
Decimal-to-hex is the same algorithm as decimal-to-any-base: divide by 16 repeatedly and read remainders in reverse, mapping 10–15 to A–F.
Large integers stay exact: the implementation uses BigInt end-to-end.
Mnemonic: 255₁₀ = FF₁₆; 4095₁₀ = FFF₁₆.
How to convert decimal to hexadecimal
Treat your input strictly as a base-10 integer: only digits valid for that base are allowed. The tool converts to an exact integer, then prints it in base 16.
Live example: …10 → …16
Unlike unit conversions with a single scale factor, radix conversion rebuilds the digit sequence. The “expand to decimal, then divide out the target base” algorithm matches what you learn in CS—automated here for any size.
Decimal
Definition: Base 10: the everyday positional system using digits 0–9.
History and origin: Linked to counting on ten fingers; dominant globally for human-facing arithmetic.
Current use: General arithmetic, finance, and human-readable magnitudes before re-encoding to other bases.
Hexadecimal
Definition: Base 16: digits 0–9 plus A–F for ten through fifteen. One hex digit represents exactly four bits.
History and origin: Adopted widely in computing to shorten binary strings while preserving bit alignment.
Current use: Memory addresses, RGB colors (#RRGGBB), UUIDs, hashes, and debug output.
Decimal to Hexadecimal conversion table
| Decimal (base 10) | Hexadecimal (base 16) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | A |
| 15 | F |
| 255 | FF |
| 4095 | FFF |
| 65535 | FFFF |
Decimal to Hexadecimal FAQ
Is hex case-sensitive?
No. A–F and a–f are accepted; output uses uppercase letters.
How is this different from the hex calculator?
This page only changes radix. The hex calculator does arithmetic (+, −, ×, ÷) in hex.
Can I convert negative numbers?
This tool is for non-negative integer strings. Sign handling depends on a fixed bit width in real systems (two’s complement), which is outside this generic converter.