Перевести число 000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000001000000000000000100000000000000010000000000000111000000000000000001000000000000000001000000000000000001000000111111111110000000000000000000000011111111111000000100000000010000001000000000100000010000000001000000100000000010000001000000000100000011111111111000000000000000000000001111111111100000000000001000000000000000100000000000000010000000000000001000000000000000100000000000000010000000000000011111111111000000000000000000000000000000000000000001000011110000000100001000010000001000010000100000010000100001000000100001000010000001000010000100000001111000010000000000000000000000000100001111000000010000100001000000100001000010000001000010000100000010000100001000000100001000010000000111100001000000000000000000000000000000000010000000000000000100000000000000001000000000000000010000001111111111100000000000000001000000000000000010000000000000000100000000000000001000000000000000000000001111111111100000010000100001000000100001000010000001000010000100000010000100001000000100000000010000001000000000100000010000000001000000000000000000000001111111111100000000000100001000000000001000010000000000110000100000000010100001000000001001000010000001100001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000100000000000000001000111100000000100000000000000001000000000000000010000000000000000100000000000000000100011110000000001000000000000000001000000000000000001 из двоичной системы в десятичную

Задача: перевести число 000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000001000000000000000100000000000000010000000000000111000000000000000001000000000000000001000000000000000001000000111111111110000000000000000000000011111111111000000100000000010000001000000000100000010000000001000000100000000010000001000000000100000011111111111000000000000000000000001111111111100000000000001000000000000000100000000000000010000000000000001000000000000000100000000000000010000000000000011111111111000000000000000000000000000000000000000001000011110000000100001000010000001000010000100000010000100001000000100001000010000001000010000100000001111000010000000000000000000000000100001111000000010000100001000000100001000010000001000010000100000010000100001000000100001000010000000111100001000000000000000000000000000000000010000000000000000100000000000000001000000000000000010000001111111111100000000000000001000000000000000010000000000000000100000000000000001000000000000000000000001111111111100000010000100001000000100001000010000001000010000100000010000100001000000100000000010000001000000000100000010000000001000000000000000000000001111111111100000000000100001000000000001000010000000000110000100000000010100001000000001001000010000001100001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000100000000000000001000111100000000100000000000000001000000000000000010000000000000000100000000000000000100011110000000001000000000000000001000000000000000001 из двоичной в 10-ую систему счисления.

Решение:

Для перевода числа 000000000000000000000000000000000000000000000000000000000000000000000001111111111100000000000000001000000000000000100000000000000010000000000000111000000000000000001000000000000000001000000000000000001000000111111111110000000000000000000000011111111111000000100000000010000001000000000100000010000000001000000100000000010000001000000000100000011111111111000000000000000000000001111111111100000000000001000000000000000100000000000000010000000000000001000000000000000100000000000000010000000000000011111111111000000000000000000000000000000000000000001000011110000000100001000010000001000010000100000010000100001000000100001000010000001000010000100000001111000010000000000000000000000000100001111000000010000100001000000100001000010000001000010000100000010000100001000000100001000010000000111100001000000000000000000000000000000000010000000000000000100000000000000001000000000000000010000001111111111100000000000000001000000000000000010000000000000000100000000000000001000000000000000000000001111111111100000010000100001000000100001000010000001000010000100000010000100001000000100000000010000001000000000100000010000000001000000000000000000000001111111111100000000000100001000000000001000010000000000110000100000000010100001000000001001000010000001100001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000001000000000000000100000000000000001000111100000000100000000000000001000000000000000010000000000000000100000000000000000100011110000000001000000000000000001000000000000000001 в десятичную систему воспользуемся формулой:

An = an-1 ∙ qn-1 + an-2 ∙ qn-2 + ∙∙∙ + a0 ∙ q0

Отсюда:

0000000000000000000000000000000000000000000000000000000000000000000000011111111111000000000000000010000000000000001000000000000000100000000000001110000000000000000010000000000000000010000000000000000010000001111111111100000000000000000000000111111111110000001000000000100000010000000001000000100000000010000001000000000100000010000000001000000111111111110000000000000000000000011111111111000000000000010000000000000001000000000000000100000000000000010000000000000001000000000000000100000000000000111111111110000000000000000000000000000000000000000010000111100000001000010000100000010000100001000000100001000010000001000010000100000010000100001000000011110000100000000000000000000000001000011110000000100001000010000001000010000100000010000100001000000100001000010000001000010000100000001111000010000000000000000000000000000000000100000000000000001000000000000000010000000000000000100000011111111111000000000000000010000000000000000100000000000000001000000000000000010000000000000000000000011111111111000000100001000010000001000010000100000010000100001000000100001000010000001000000000100000010000000001000000100000000010000000000000000000000011111111111000000000001000010000000000010000100000000001100001000000000101000010000000010010000100000011000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000001000000000000000010001111000000001000000000000000010000000000000000100000000000000001000000000000000001000111100000000010000000000000000010000000000000000012=0 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2862 + 0 ∙ 2861 + 0 ∙ 2860 + 0 ∙ 2859 + 0 ∙ 2858 + 0 ∙ 2857 + 0 ∙ 2856 + 0 ∙ 2855 + 1 ∙ 2854 + 0 ∙ 2853 + 0 ∙ 2852 + 0 ∙ 2851 + 0 ∙ 2850 + 1 ∙ 2849 + 1 ∙ 2848 + 1 ∙ 2847 + 1 ∙ 2846 + 0 ∙ 2845 + 0 ∙ 2844 + 0 ∙ 2843 + 0 ∙ 2842 + 0 ∙ 2841 + 0 ∙ 2840 + 0 ∙ 2839 + 1 ∙ 2838 + 0 ∙ 2837 + 0 ∙ 2836 + 0 ∙ 2835 + 0 ∙ 2834 + 1 ∙ 2833 + 0 ∙ 2832 + 0 ∙ 2831 + 0 ∙ 2830 + 0 ∙ 2829 + 1 ∙ 2828 + 0 ∙ 2827 + 0 ∙ 2826 + 0 ∙ 2825 + 0 ∙ 2824 + 0 ∙ 2823 + 0 ∙ 2822 + 1 ∙ 2821 + 0 ∙ 2820 + 0 ∙ 2819 + 0 ∙ 2818 + 0 ∙ 2817 + 1 ∙ 2816 + 0 ∙ 2815 + 0 ∙ 2814 + 0 ∙ 2813 + 0 ∙ 2812 + 1 ∙ 2811 + 0 ∙ 2810 + 0 ∙ 2809 + 0 ∙ 2808 + 0 ∙ 2807 + 0 ∙ 2806 + 0 ∙ 2805 + 1 ∙ 2804 + 0 ∙ 2803 + 0 ∙ 2802 + 0 ∙ 2801 + 0 ∙ 2800 + 1 ∙ 2799 + 0 ∙ 2798 + 0 ∙ 2797 + 0 ∙ 2796 + 0 ∙ 2795 + 1 ∙ 2794 + 0 ∙ 2793 + 0 ∙ 2792 + 0 ∙ 2791 + 0 ∙ 2790 + 0 ∙ 2789 + 0 ∙ 2788 + 1 ∙ 2787 + 0 ∙ 2786 + 0 ∙ 2785 + 0 ∙ 2784 + 0 ∙ 2783 + 1 ∙ 2782 + 0 ∙ 2781 + 0 ∙ 2780 + 0 ∙ 2779 + 0 ∙ 2778 + 1 ∙ 2777 + 0 ∙ 2776 + 0 ∙ 2775 + 0 ∙ 2774 + 0 ∙ 2773 + 0 ∙ 2772 + 0 ∙ 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3.1521604957116E+116 + 1.5760802478558E+116 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 3.8478521676166E+112 + 0 + 0 + 0 + 0 + 1.2024538023802E+111 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 2.9356782284673E+107 + 0 + 0 + 0 + 0 + 9.1739944639603E+105 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 4.4794894843556E+102 + 2.2397447421778E+102 + 0 + 0 + 0 + 0 + 6.9992023193056E+100 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 6.8351585149469E+97 + 0 + 1.7087896287367E+97 + 0 + 0 + 0 + 0 + 5.3399675898023E+95 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 1.0429624198833E+93 + 0 + 0 + 1.3037030248541E+92 + 0 + 0 + 0 + 0 + 4.074071952669E+90 + 0 + 0 + 0 + 0 + 0 + 0 + 3.1828687130226E+88 + 1.5914343565113E+88 + 0 + 0 + 0 + 0 + 4.9732323640979E+86 + 2.4866161820489E+86 + 1.2433080910245E+86 + 6.2165404551223E+85 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 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Ответ: 0000000000000000000000000000000000000000000000000000000000000000000000011111111111000000000000000010000000000000001000000000000000100000000000001110000000000000000010000000000000000010000000000000000010000001111111111100000000000000000000000111111111110000001000000000100000010000000001000000100000000010000001000000000100000010000000001000000111111111110000000000000000000000011111111111000000000000010000000000000001000000000000000100000000000000010000000000000001000000000000000100000000000000111111111110000000000000000000000000000000000000000010000111100000001000010000100000010000100001000000100001000010000001000010000100000010000100001000000011110000100000000000000000000000001000011110000000100001000010000001000010000100000010000100001000000100001000010000001000010000100000001111000010000000000000000000000000000000000100000000000000001000000000000000010000000000000000100000011111111111000000000000000010000000000000000100000000000000001000000000000000010000000000000000000000011111111111000000100001000010000001000010000100000010000100001000000100001000010000001000000000100000010000000001000000100000000010000000000000000000000011111111111000000000001000010000000000010000100000000001100001000000000101000010000000010010000100000011000011110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000010000000000000001000000000000000010001111000000001000000000000000010000000000000000100000000000000001000000000000000001000111100000000010000000000000000010000000000000000012 = NAN10.

Подробнее о том, как переводить числа из двоичной системы в десятичную, смотрите здесь.

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