簡約-6/11 log_{2}(6/11)-5/11 log_{2}(5/11)

解

簡約

- \frac{6}{11} lo g_{2} (\frac{6}{11}) - \frac{5}{11} lo g_{2} (\frac{5}{11})

\frac{- 6 - lo g _{2} ( \frac{2278125}{285311670611} )}{11}

十進法表記

0.99403 \dots

解答ステップ

- \frac{6}{11} lo g_{2} (\frac{6}{11}) - \frac{5}{11} lo g_{2} (\frac{5}{11})

- \frac{6}{11} lo g_{2} (\frac{6}{11}) - \frac{5}{11} lo g_{2} (\frac{5}{11}) = \frac{- 6 lo g _{2} ( \frac{6}{11} ) - 5 lo g _{2} ( \frac{5}{11} )}{11}

= \frac{- 6 lo g _{2} ( \frac{6}{11} ) - 5 lo g _{2} ( \frac{5}{11} )}{11}

- 6 lo g_{2} (\frac{6}{11}) - 5 lo g_{2} (\frac{5}{11}) = - 6 - lo g_{2} (\frac{2278125}{285311670611})

= \frac{- 6 - lo g _{2} ( \frac{2278125}{285311670611} )}{11}