Для перевода числа 1000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100 из 1000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100-ой в 1000000000000000-ую систему счисления, необходимо сначала перевести его в десятичную систему, а полученное число в 1000000000000000-ую. Для перевода 1000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100-ого числа 1000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100 в десятичное необходимо записать его в виде многочлена, состоящего из произведений цифр вида:
A1000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100 = an-1 ∙ 1000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100n-1 + an-2 ∙ 1000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100n-2 + ∙∙∙ + a0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011000
В результате преобразований получим:
10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011001000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100=1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110093 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110092 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110091 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110090 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110089 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110088 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110087 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110086 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110085 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110084 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110083 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110082 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110081 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110080 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110079 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110078 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110077 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110076 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110075 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110074 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110073 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110072 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110071 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110070 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110069 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110068 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110067 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110066 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110065 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110064 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110063 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110062 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110061 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110060 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110059 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110058 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110057 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110056 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110055 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110054 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110053 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110052 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110051 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110050 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110049 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110048 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110047 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110046 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110045 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110044 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110043 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110042 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110041 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110040 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110039 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110038 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110037 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110036 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110035 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110034 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110033 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110032 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110031 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110030 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110029 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110028 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110027 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110026 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110025 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110024 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110023 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110022 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110021 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110020 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110019 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110018 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110017 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110016 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110015 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110014 + 0 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110013 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110012 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110011 + 1 ∙ 100001000101000100101110000010001001001100001100001000011001010000110101100001110111000100110010 + 0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011009 + 0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011008 + 0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011007 + 1 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011006 + 0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011005 + 0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011004 + 1 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011003 + 1 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011002 + 0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011001 + 0 ∙ 10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011000 = 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 1 ∙ INF + 1 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 1 ∙ 1.0000300033301E+279 + 1 ∙ 1.00002000212E+186 + 0 ∙ 1.00001000101E+93 + 0 ∙ 1 = INF + NAN + NAN + NAN + NAN + INF + NAN + NAN + NAN + INF + NAN + INF + NAN + NAN + NAN + INF + NAN + NAN + INF + NAN + INF + INF + INF + NAN + NAN + NAN + NAN + NAN + INF + NAN + NAN + NAN + INF + NAN + NAN + INF + NAN + NAN + INF + INF + NAN + NAN + NAN + NAN + INF + INF + NAN + NAN + NAN + NAN + INF + NAN + NAN + NAN + NAN + INF + INF + NAN + NAN + INF + NAN + INF + NAN + NAN + NAN + NAN + INF + INF + NAN + INF + NAN + INF + INF + NAN + NAN + NAN + NAN + INF + INF + INF + NAN + INF + INF + INF + NAN + NAN + NAN + INF + NAN + NAN + 1.0000300033301E+279 + 1.00002000212E+186 + 0 + 0 = NAN10
Таким образом:
10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011001000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100 = NAN10.
Для перевода десятичного числа NAN в 1000000000000000-ую систему счисления, необходимо его последовательно делить на 1000000000000000 до тех пор, пока остаток не станет меньше чем 1000000000000000.
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Ответом будет являться обратная последовательность результатов деления:
010=01000000000000000
Окончательный ответ будет выглядеть так:
10000100010100010010111000001000100100110000110000100001100101000011010110000111011100010011001000010001010001001011100000100010010011000011000010000110010100001101011000011101110001001100=01000000000000000