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ooopsygirl
Pe: 2007-11-04T11:20:13+02:00 In: In:

mate de-a V-a

compara in baza 2……..2la puterea37+2la puterea 19……fatza de 2la puterea29+2la puterea23+2 la puterea15

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  1. ex-admin
    profesor

    ooopsygirl wrote: compara in baza 2……..2la puterea37+2la puterea 19……fatza de 2la puterea29+2la puterea23+2 la puterea15


    Asadar vrei sa compari a=2^{37}+2^{19} cu b=2^{29}+2^{23}+2^{15}.

    Deoarece 2^{23} < 2^{29} cat si 2^{15} < 2^{29} , rezulta ca:

    \begin{array}{l} b < 2^{29} + 2^{29} + 2^{29} \Rightarrow \\ b < 3 \cdot 2^{29} \Rightarrow \\ b < 4 \cdot 2^{29} \Rightarrow \\ b < 2^{31} \Rightarrow \\ b < 2^{37} \Rightarrow \\ b < 2^{37} + 2^{19} \Rightarrow \\ b < a \\ \end{array}

  2. ooopsygirl

    >:D<

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