Convert octal numbers (base-8) to decimal numbers (base-10) using positional notation method
Write down the octal number
Assign powers of 8 to each digit, starting from the right (8⁰, 8¹, 8², ...)
Multiply each octal digit by its corresponding power of 8
Add up all the products to get the decimal equivalent
1×8² + 2×8¹ + 3×8⁰
= 1×64 + 2×8 + 3×1
= 64 + 16 + 3
= 83₁₀
| Property | Value |
|---|---|
| Base | 8 |
| Digits | 0, 1, 2, 3, 4, 5, 6, 7 |
| Position Value | ..., 8³, 8², 8¹, 8⁰ |
| Max digit value | 7 |
