Перевести число 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 из 10000000000000000000000000000000000000000000000000000000000000000000-ой системы в 10000000000000000000000000000000000000000000000000000000000000000-ую

Задача: перевести число 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 из 10000000000000000000000000000000000000000000000000000000000000000000-ой в 10000000000000000000000000000000000000000000000000000000000000000-ую систему счисления.

Для перевода 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 из 10000000000000000000000000000000000000000000000000000000000000000000-ой в 10000000000000000000000000000000000000000000000000000000000000000-ую систему счисления, воспользуемся следующим алгоритмом:

  1. Переведем число 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 из 10000000000000000000000000000000000000000000000000000000000000000000-ой системы в десятичную;
  2. Полученное число переведём из десятичной системы в 10000000000000000000000000000000000000000000000000000000000000000-ую;

Решение:

1. Для перевода числа 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 в десятичную систему воспользуемся формулой:

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

Отсюда:

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000=1 ∙ 10000000000000000000000000000000000000000000000000000000000000000000156 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000155 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000154 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000153 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000152 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000151 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000150 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000149 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000148 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000147 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000146 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000145 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000144 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000143 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000142 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000141 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000140 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000139 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000138 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000137 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000136 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000135 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000134 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000133 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000132 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000131 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000130 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000129 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000128 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000127 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000126 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000125 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000124 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000123 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000122 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000121 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000120 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000119 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000118 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000117 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000116 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000115 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000114 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000113 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000112 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000111 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000110 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000109 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000108 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000107 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000106 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000105 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000104 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000103 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000102 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000101 + 0 ∙ 10000000000000000000000000000000000000000000000000000000000000000000100 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000099 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000098 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000097 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000096 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000095 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000094 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000093 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000092 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000091 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000090 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000089 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000088 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000087 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000086 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000085 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000084 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000083 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000082 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000081 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000080 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000079 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000078 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000077 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000076 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000075 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000074 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000073 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000072 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000071 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000070 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000069 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000068 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000067 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000066 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000065 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000064 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000063 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000062 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000061 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000060 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000059 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000058 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000057 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000056 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000055 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000054 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000053 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000052 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000051 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000050 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000049 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000048 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000047 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000046 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000045 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000044 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000043 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000042 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000041 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000040 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000039 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000038 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000037 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000036 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000035 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000034 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000033 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000032 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000031 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000030 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000029 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000028 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000027 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000026 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000025 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000024 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000023 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000022 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000021 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000020 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000019 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000018 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000017 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000016 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000015 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000014 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000013 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000012 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000011 + 0 ∙ 1000000000000000000000000000000000000000000000000000000000000000000010 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000009 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000008 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000007 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000006 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000005 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000004 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000003 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000002 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000001 + 0 ∙ 100000000000000000000000000000000000000000000000000000000000000000000 = 1 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ INF + 0 ∙ 1.0E+268 + 0 ∙ 1.0E+201 + 0 ∙ 1.0E+134 + 0 ∙ 1.0E+67 + 0 ∙ 1 = INF + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + NAN + 0 + 0 + 0 + 0 + 0 = NAN10

Таким образом:

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000 = NAN10

2. Полученное число NAN переведем из десятичной системы счисления в 10000000000000000000000000000000000000000000000000000000000000000-ую. Для этого, осуществим последовательное деление на 10000000000000000000000000000000000000000000000000000000000000000, до тех пор пока остаток не будет меньше чем 10000000000000000000000000000000000000000000000000000000000000000.

0

Полученные остатки записываем в обратном порядке, таким образом:

010=010000000000000000000000000000000000000000000000000000000000000000

Ответ: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000 = 010000000000000000000000000000000000000000000000000000000000000000.

Смотрите также:

  • Смотрите также
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