Перевести число 10110011111 из двоичной системы в восьмеричную
Задача: перевести число 10110011111 из двоичной в восьмеричную систему счисления.
Для перевода 10110011111 из двоичной в восьмеричную систему счисления, воспользуемся следующим алгоритмом:
- Переведем число 10110011111 из двоичной системы в десятичную;
- Полученное число переведём из десятичной системы в восьмеричную;
Решение:
1. Для перевода числа 10110011111 в десятичную систему воспользуемся формулой:
An = an-1 ∙ qn-1 + an-2 ∙ qn-2 + ∙∙∙ + a0 ∙ q0
Отсюда:
101100111112=1 ∙ 210 + 0 ∙ 29 + 1 ∙ 28 + 1 ∙ 27 + 0 ∙ 26 + 0 ∙ 25 + 1 ∙ 24 + 1 ∙ 23 + 1 ∙ 22 + 1 ∙ 21 + 1 ∙ 20 = 1 ∙ 1024 + 0 ∙ 512 + 1 ∙ 256 + 1 ∙ 128 + 0 ∙ 64 + 0 ∙ 32 + 1 ∙ 16 + 1 ∙ 8 + 1 ∙ 4 + 1 ∙ 2 + 1 ∙ 1 = 1024 + 0 + 256 + 128 + 0 + 0 + 16 + 8 + 4 + 2 + 1 = 143910
Таким образом:
101100111112 = 143910
2. Полученное число 1439 переведем из десятичной системы счисления в восьмеричную. Для этого, осуществим последовательное деление на 8, до тех пор пока остаток не будет меньше чем 8.
— | 1439 | 8 | |||||
1432 | — | 179 | 8 | ||||
7 | 176 | — | 22 | 8 | |||
3 | 16 | 2 | |||||
6 |
Полученные остатки записываем в обратном порядке, таким образом:
143910=26378
Ответ: 101100111112 = 26378.
Смотрите также:
Полезные материалы
Калькуляторы переводов
- Калькулятор переводов из двоичной в восьмеричную с решением
- Калькулятор переводов из десятичной в двоичную с решением
- Калькулятор переводов из десятичной в шестнадцатеричную с решением
- Калькулятор переводов из восьмеричной в десятичную с решением
- Калькулятор переводов из шестнадцатеричной в восьмеричную с решением
- Калькулятор переводов из одной системы счисления в другую
Последние примеры переводов из 2-ой в 8-ую систему
- Как будет записано двоичное число 111000100.10001000111 в восьмеричной системе?
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- Как перевести число 1001110101.011001 из двоичной в восьмеричную систему счисления?
- Перевод 000110110 из двоичной в восьмеричную систему
- Переведите число 01100111 из двоичной в восьмеричную систему счисления
- Перевести 1111110100 из двоичной в восьмеричную систему счисления
- Перевести двоичное число 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в восьмеричную систему
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