Перевести число 100100100100100 из двоичной системы в десятичную
Задача: перевести число 100100100100100 из двоичной в 10-ую систему счисления.
Решение:
Для перевода числа 100100100100100 в десятичную систему воспользуемся формулой:
An = an-1 ∙ qn-1 + an-2 ∙ qn-2 + ∙∙∙ + a0 ∙ q0
Отсюда:
1001001001001002=1 ∙ 214 + 0 ∙ 213 + 0 ∙ 212 + 1 ∙ 211 + 0 ∙ 210 + 0 ∙ 29 + 1 ∙ 28 + 0 ∙ 27 + 0 ∙ 26 + 1 ∙ 25 + 0 ∙ 24 + 0 ∙ 23 + 1 ∙ 22 + 0 ∙ 21 + 0 ∙ 20 = 1 ∙ 16384 + 0 ∙ 8192 + 0 ∙ 4096 + 1 ∙ 2048 + 0 ∙ 1024 + 0 ∙ 512 + 1 ∙ 256 + 0 ∙ 128 + 0 ∙ 64 + 1 ∙ 32 + 0 ∙ 16 + 0 ∙ 8 + 1 ∙ 4 + 0 ∙ 2 + 0 ∙ 1 = 16384 + 0 + 0 + 2048 + 0 + 0 + 256 + 0 + 0 + 32 + 0 + 0 + 4 + 0 + 0 = 1872410
Ответ: 1001001001001002 = 1872410.
Подробнее о том, как переводить числа из двоичной системы в десятичную, смотрите здесь.
Смотрите также:
Полезные материалы
Калькуляторы переводов
- Калькулятор переводов из двоичной в десятичную с подробным решением
- Калькулятор переводов из десятичной в шестнадцатеричную с подробным решением
- Калькулятор переводов из восьмеричной в десятичную с подробным решением
- Калькулятор переводов из восьмеричной в двоичную с подробным решением
- Калькулятор переводов из восьмеричной в шестнадцатеричную с подробным решением
- Калькулятор переводов из шестнадцатеричной в восьмеричную с подробным решением
Последние примеры переводов из 2-ой в 10-ую систему
- Какое двоичное число соответствует десятичному числу 110010.0100?
- Переведите двоичное число 10000101000011 в десятичную систему
- Переведите 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из двоичной в десятичную систему
- Запиши двоичное число 011100001 в десятичной системе
- Запиши двоичное число 1100111010 в десятичной системе
- Перевести число 10111.11101 из двоичной в десятичную систему счисления
- Представьте двоичное число 100010.111001 в десятичной системе
- Как перевести число 1011111110 из двоичной в десятичную систему счисления?
- Переведите число 01001000011 из двоичной в десятичную систему счисления
- Представить двоичное число 1001101010010101 в десятичной системе счисления