Перевести число 110000000 из двоичной системы в шестнадцатеричную
Задача: перевести число 110000000 из двоичной в шестнадцатеричную систему счисления.
Для перевода 110000000 из двоичной в шестнадцатеричную систему счисления, воспользуемся следующим алгоритмом:
- Переведем число 110000000 из двоичной системы в десятичную;
- Полученное число переведём из десятичной системы в шестнадцатеричную;
Решение:
1. Для перевода числа 110000000 в десятичную систему воспользуемся формулой:
An = an-1 ∙ qn-1 + an-2 ∙ qn-2 + ∙∙∙ + a0 ∙ q0
Отсюда:
1100000002=1 ∙ 28 + 1 ∙ 27 + 0 ∙ 26 + 0 ∙ 25 + 0 ∙ 24 + 0 ∙ 23 + 0 ∙ 22 + 0 ∙ 21 + 0 ∙ 20 = 1 ∙ 256 + 1 ∙ 128 + 0 ∙ 64 + 0 ∙ 32 + 0 ∙ 16 + 0 ∙ 8 + 0 ∙ 4 + 0 ∙ 2 + 0 ∙ 1 = 256 + 128 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 38410
Таким образом:
1100000002 = 38410
2. Полученное число 384 переведем из десятичной системы счисления в шестнадцатеричную. Для этого, осуществим последовательное деление на 16, до тех пор пока остаток не будет меньше чем 16.
— | 384 | 16 | |||
384 | — | 24 | 16 | ||
0 | 16 | 1 | |||
8 |
Полученные остатки записываем в обратном порядке, таким образом:
38410=18016
Ответ: 1100000002 = 18016.
Смотрите также:
Полезные материалы
Калькуляторы переводов
- Калькулятор переводов из двоичной в шестнадцатеричную систему с решением
- Калькулятор переводов из десятичной в двоичную систему с решением
- Калькулятор переводов из десятичной в восьмеричную систему с решением
- Калькулятор переводов из десятичной в шестнадцатеричную систему с решением
- Калькулятор переводов из шестнадцатеричной в двоичную систему с решением
- Калькулятор переводов из шестнадцатеричной в восьмеричную систему с решением
Последние примеры переводов из 2-ой в 16-ую систему
- Перевести число 1101001101 из двоичной в шестнадцатеричную систему счисления
- Перевести 10000010011010 из двоичной в шестнадцатеричную систему
- Перевести число 0001000001111111 из двоичной в шестнадцатеричную систему
- Какое двоичное число соответствует шестнадцатеричному числу 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