A regular decimal number is the sum of the digits multiplied with 10n.
135 in base 10 is equal to each digit multiplied with its corresponding 10n:
135 = (1 × 8²) + (3 × 8¹) + (5 × 8⁰) = 93
So Octal numbers are read the same way, but each digit counts 8n instead of 10n.
So Multiply each digit of the hex number with its corresponding 8n.
30 in base 8 is equal to each digit multiplied with its corresponding 8n:
30 = (3 × 8¹) + (0 × 8⁰) = 24
250 in base 8 is equal to each digit multiplied with its corresponding power of 8:
250 = (2 × 8²) + (5 × 8¹) + (0 × 8⁰) = 168
7250 in base 8 is equal to each digit multiplied with its corresponding power of 8:
7250 = (7 × 8³) + (2 × 8²) + (5 × 8¹) + (0 × 8⁰) = 3752
| Octal base 8 | Decimal base 10 |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 10 | 8 |
| 11 | 9 |
| 12 | 10 |
| 13 | 11 |
| 14 | 12 |
| 15 | 13 |
| 16 | 14 |
| 17 | 15 |
| 20 | 16 |
| 30 | 24 |
| 40 | 32 |
| 50 | 40 |
| 60 | 48 |
| 70 | 56 |
| 100 | 64 |
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