Convert hexadecimal numbers (base-16) to decimal numbers (base-10) with detailed positional calculation
Write down the hexadecimal number
Assign powers of 16 to each digit, starting from the right (16⁰, 16¹, 16², ...)
Convert each hexadecimal digit to its decimal equivalent
Multiply each digit by its corresponding power of 16 and sum the results
1×16² + A×16¹ + 3×16⁰
= 1×256 + 10×16 + 3×1
= 256 + 160 + 3
= 419₁₀
| Hex Digit | Decimal Value | Hex Digit | Decimal Value |
|---|---|---|---|
| 0 | 0 | 8 | 8 |
| 1 | 1 | 9 | 9 |
| 2 | 2 | A | 10 |
| 3 | 3 | B | 11 |
| 4 | 4 | C | 12 |
| 5 | 5 | D | 13 |
| 6 | 6 | E | 14 |
| 7 | 7 | F | 15 |
