Перевести число 7B5 из шестнадцатеричной системы в двоичную
Задача: перевести число 7B5 из шестнадцатеричной в двоичную систему счисления.
Для перевода 7B5 из шестнадцатеричной в двоичную систему счисления, воспользуемся следующим алгоритмом:
- Переведем число 7B5 из шестнадцатеричной системы в десятичную;
- Полученное число переведём из десятичной системы в двоичную;
Решение:
1. Для перевода числа 7B5 в десятичную систему воспользуемся формулой:
An = an-1 ∙ qn-1 + an-2 ∙ qn-2 + ∙∙∙ + a0 ∙ q0
Отсюда:
7B516=7 ∙ 162 + B ∙ 161 + 5 ∙ 160 = 7 ∙ 256 + 11 ∙ 16 + 5 ∙ 1 = 1792 + 176 + 5 = 197310
Таким образом:
7B516 = 197310
2. Полученное число 1973 переведем из десятичной системы счисления в двоичную. Для этого, осуществим последовательное деление на 2, до тех пор пока остаток не будет меньше чем 2.
| — | 1973 | 2 | |||||||||||||||||||
| 1972 | — | 986 | 2 | ||||||||||||||||||
| 1 | 986 | — | 493 | 2 | |||||||||||||||||
| 0 | 492 | — | 246 | 2 | |||||||||||||||||
| 1 | 246 | — | 123 | 2 | |||||||||||||||||
| 0 | 122 | — | 61 | 2 | |||||||||||||||||
| 1 | 60 | — | 30 | 2 | |||||||||||||||||
| 1 | 30 | — | 15 | 2 | |||||||||||||||||
| 0 | 14 | — | 7 | 2 | |||||||||||||||||
| 1 | 6 | — | 3 | 2 | |||||||||||||||||
| 1 | 2 | 1 | |||||||||||||||||||
| 1 |
Полученные остатки записываем в обратном порядке, таким образом:
197310=111101101012
Ответ: 7B516 = 111101101012.
Смотрите также:
- Смотрите также
- Калькуляторы
- Последние переводы
Полезные материалы
Калькуляторы переводов
- Калькулятор переводов из шестнадцатеричной в двоичную с решением
- Калькулятор переводов из десятичной в шестнадцатеричную с решением
- Калькулятор переводов из двоичной в десятичную с решением
- Калькулятор переводов из двоичной в восьмеричную с решением
- Калькулятор переводов из двоичной в шестнадцатеричную с решением
- Калькулятор переводов из восьмеричной в шестнадцатеричную с решением
Последние примеры переводов из 16-ой в 2-ую систему
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- Представить шестнадцатеричное число 8CF7 в двоичной системе счисления
- Какому шестнадцатеричному числу соответствует двоичный код 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- Как перевести число 00000004 из шестнадцатеричной в двоичную систему?
- Перевести шестнадцатеричное число 1012.001 в двоичную систему счисления
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- Какое шестнадцатеричное число соответствует двоичному коду 5154?
- Перевести 7B4A из шестнадцатеричной в двоичную систему
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