Question

Try the following conversion.

(514)₈ = (?)₁₀

Answer 1

Expand using place values of base 8

(514)₈ ​= 5 × 8² + 1 × 8¹ + 4 × 8⁰

Calculate each term

8² = 64 → 5 × 64 = 320

8¹ = 8 → 1 × 8 = 8

8⁰ = 1 → 4 × 1 = 4

Add them together

320 + 8 + 4 = 332

(514)₈​ = (332)_10​