Перевести число 1111101000011000 из двоичной системы в десятичную
Задача: перевести число 1111101000011000 из двоичной в 10-ую систему счисления.
Решение:
Для перевода числа 1111101000011000 в десятичную систему воспользуемся формулой:
An = an-1 ∙ qn-1 + an-2 ∙ qn-2 + ∙∙∙ + a0 ∙ q0
Отсюда:
11111010000110002=1 ∙ 215 + 1 ∙ 214 + 1 ∙ 213 + 1 ∙ 212 + 1 ∙ 211 + 0 ∙ 210 + 1 ∙ 29 + 0 ∙ 28 + 0 ∙ 27 + 0 ∙ 26 + 0 ∙ 25 + 1 ∙ 24 + 1 ∙ 23 + 0 ∙ 22 + 0 ∙ 21 + 0 ∙ 20 = 1 ∙ 32768 + 1 ∙ 16384 + 1 ∙ 8192 + 1 ∙ 4096 + 1 ∙ 2048 + 0 ∙ 1024 + 1 ∙ 512 + 0 ∙ 256 + 0 ∙ 128 + 0 ∙ 64 + 0 ∙ 32 + 1 ∙ 16 + 1 ∙ 8 + 0 ∙ 4 + 0 ∙ 2 + 0 ∙ 1 = 32768 + 16384 + 8192 + 4096 + 2048 + 0 + 512 + 0 + 0 + 0 + 0 + 16 + 8 + 0 + 0 + 0 = 6402410
Ответ: 11111010000110002 = 6402410.
Подробнее о том, как переводить числа из двоичной системы в десятичную, смотрите здесь.
Смотрите также:
Полезные материалы
Калькуляторы переводов
- Калькулятор из двоичной в десятичную систему с решением
- Калькулятор из десятичной в восьмеричную систему с решением
- Калькулятор из десятичной в шестнадцатеричную систему с решением
- Калькулятор из восьмеричной в десятичную систему с решением
- Калькулятор из двоичной в шестнадцатеричную систему с решением
- Калькулятор из восьмеричной в шестнадцатеричную систему с решением
Последние примеры переводов из 2-ой в 10-ую систему
- Переведите двоичное число 11001100110111001101100011010100110000001100000011011000000000 в десятичную систему
- Какое двоичное число соответствует десятичному числу 100101.10000101000?
- Запишите двоичное число 100110111.01101010111 в десятичной системе
- Перевести двоичное число 0.000110011001100 в десятичную систему счисления
- Перевод числа 1010001001011 из двоичной в десятичную систему
- Запиши двоичное число 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в десятичной системе счисления
- Как перевести число 0100111111 из двоичной в десятичную систему счисления?
- Перевести 111111110000000 из двоичной в десятичную систему
- Перевод 1101110100.0111 из двоичной в десятичную систему
- Какое двоичное число соответствует десятичному коду 00.1000.0?