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Convert (36.735)₈ to decimal

Short answer

Sum each digit multiplied by 8 raised to its position: 3×8 + 6×1 + 7×8⁻¹ + 3×8⁻² + 5×8⁻³ = 30.931640625. Result is (30.931640625)₁₀.

Convert (36.735)₈ = (?)₁₀.

(36.735)8=3×81+6×80+7×8−1+3×8−2+5×8−3=24+6+0.875+0.046875+0.009765625=30.931640625\begin{aligned} (36.735)_8 &= 3\times8^1 + 6\times8^0 + 7\times8^{-1} + 3\times8^{-2} + 5\times8^{-3} \\ &= 24 + 6 + 0.875 + 0.046875 + 0.009765625 \\ &= 30.931640625 \end{aligned}

Answer: (36.735)8=(30.931640625)10(36.735)_8 = (30.931640625)_{10}

✓ Answer checked by Claude Opus 5.5 (high effort)

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