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Question Number 25476 by Mcfaithal last updated on 10/Dec/17

convert 1234.24_8  to base 10

$${convert}\:\mathrm{1234}.\mathrm{24}_{\mathrm{8}} \:{to}\:{base}\:\mathrm{10} \\ $$

Answered by mrW1 last updated on 11/Dec/17

=1×8^3 +2×8^2 +3×8^1 +4×8^0 +2×8^(−1) +4×8^(−2)   =668.3125

$$=\mathrm{1}×\mathrm{8}^{\mathrm{3}} +\mathrm{2}×\mathrm{8}^{\mathrm{2}} +\mathrm{3}×\mathrm{8}^{\mathrm{1}} +\mathrm{4}×\mathrm{8}^{\mathrm{0}} +\mathrm{2}×\mathrm{8}^{−\mathrm{1}} +\mathrm{4}×\mathrm{8}^{−\mathrm{2}} \\ $$$$=\mathrm{668}.\mathrm{3125} \\ $$

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