| Digit | Value | × 16^position | Contributes |
|---|---|---|---|
| E | 14 | 14 × 16³ | 57344 |
| 7 | 7 | 7 × 16² | 1792 |
| A | 10 | 10 × 16¹ | 160 |
| 9 | 9 | 9 × 16⁰ | 9 |
| Sum | 59305 |
Going the other way — decimal to hex — you divide by 16 instead of multiplying: keep the remainders, read them bottom to top. 255 ÷ 16 = 15 remainder 15 → F, then 15 ÷ 16 = 0 remainder 15 → F, so 255 = 0xFF. Switch the direction above and the step list shows each division. And when what you actually needed was the bits, not the number, the hex to binary converter expands every digit into its 4-bit pattern — the two pages are sibling views of the same value.
One honest limit: hex here means numbers. A string of hex digits that was really text — like 4869 meant as “Hi” — decodes through the hex to text converter instead.