Для перевода числа 1110100011100100111010001111001011100101100000111011011110000010010111101001 из 1110100011100100111010001111001011100101100000111011011110000010010111101001-ой в 1110100011100100111010001111001011100101100000111011011110000010010111101001-ую систему счисления, необходимо сначала перевести его в десятичную систему, а полученное число в 1110100011100100111010001111001011100101100000111011011110000010010111101001-ую. Для перевода 1110100011100100111010001111001011100101100000111011011110000010010111101001-ого числа 1110100011100100111010001111001011100101100000111011011110000010010111101001 в десятичное необходимо записать его в виде многочлена, состоящего из произведений цифр вида:
A1110100011100100111010001111001011100101100000111011011110000010010111101001 = an-1 ∙ 1110100011100100111010001111001011100101100000111011011110000010010111101001n-1 + an-2 ∙ 1110100011100100111010001111001011100101100000111011011110000010010111101001n-2 + ∙∙∙ + a0 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010010
В результате преобразований получим:
11101000111001001110100011110010111001011000001110110111100000100101111010011110100011100100111010001111001011100101100000111011011110000010010111101001=1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100175 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100174 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100173 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100172 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100171 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100170 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100169 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100168 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100167 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100166 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100165 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100164 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100163 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100162 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100161 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100160 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100159 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100158 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100157 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100156 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100155 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100154 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100153 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100152 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100151 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100150 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100149 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100148 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100147 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100146 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100145 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100144 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100143 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100142 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100141 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100140 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100139 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100138 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100137 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100136 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100135 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100134 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100133 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100132 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100131 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100130 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100129 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100128 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100127 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100126 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100125 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100124 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100123 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100122 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100121 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100120 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100119 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100118 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100117 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100116 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100115 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100114 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100113 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100112 + 0 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100111 + 1 ∙ 111010001110010011101000111100101110010110000011101101111000001001011110100110 + 0 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010019 + 1 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010018 + 1 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010017 + 1 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010016 + 1 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010015 + 0 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010014 + 1 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010013 + 0 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010012 + 0 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010011 + 1 ∙ 11101000111001001110100011110010111001011000001110110111100000100101111010010 = 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ 1.5186175970702E+300 + 1 ∙ 1.3680007043377E+225 + 0 ∙ 1.2323220346444E+150 + 0 ∙ 1.1101000111001E+75 + 1 ∙ 1 = INF + INF + INF + NAN + INF + NAN + NAN + NAN + INF + INF + INF + NAN + NAN + INF + NAN + NAN + INF + INF + INF + NAN + INF + NAN + NAN + NAN + INF + INF + INF + INF + NAN + NAN + INF + NAN + INF + INF + INF + NAN + NAN + INF + NAN + INF + INF + NAN + NAN + NAN + NAN + NAN + INF + INF + INF + NAN + INF + INF + NAN + INF + INF + INF + INF + NAN + NAN + NAN + NAN + NAN + INF + NAN + NAN + INF + NAN + INF + INF + INF + INF + 0 + 1.3680007043377E+225 + 0 + 0 + 1 = NAN10
Таким образом:
11101000111001001110100011110010111001011000001110110111100000100101111010011110100011100100111010001111001011100101100000111011011110000010010111101001 = NAN10.
Для перевода десятичного числа NAN в 1110100011100100111010001111001011100101100000111011011110000010010111101001-ую систему счисления, необходимо его последовательно делить на 1110100011100100111010001111001011100101100000111011011110000010010111101001 до тех пор, пока остаток не станет меньше чем 1110100011100100111010001111001011100101100000111011011110000010010111101001.
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Ответом будет являться обратная последовательность результатов деления:
010=01110100011100100111010001111001011100101100000111011011110000010010111101001
Окончательный ответ будет выглядеть так:
11101000111001001110100011110010111001011000001110110111100000100101111010011110100011100100111010001111001011100101100000111011011110000010010111101001=01110100011100100111010001111001011100101100000111011011110000010010111101001