Перевести число 001011111010 из двоичной системы в десятичную
Задача: перевести число 001011111010 из двоичной в 10-ую систему счисления.
Решение:
Для перевода числа 001011111010 в десятичную систему воспользуемся формулой:
An = an-1 ∙ qn-1 + an-2 ∙ qn-2 + ∙∙∙ + a0 ∙ q0
Отсюда:
0010111110102=0 ∙ 211 + 0 ∙ 210 + 1 ∙ 29 + 0 ∙ 28 + 1 ∙ 27 + 1 ∙ 26 + 1 ∙ 25 + 1 ∙ 24 + 1 ∙ 23 + 0 ∙ 22 + 1 ∙ 21 + 0 ∙ 20 = 0 ∙ 2048 + 0 ∙ 1024 + 1 ∙ 512 + 0 ∙ 256 + 1 ∙ 128 + 1 ∙ 64 + 1 ∙ 32 + 1 ∙ 16 + 1 ∙ 8 + 0 ∙ 4 + 1 ∙ 2 + 0 ∙ 1 = 0 + 0 + 512 + 0 + 128 + 64 + 32 + 16 + 8 + 0 + 2 + 0 = 76210
Ответ: 0010111110102 = 76210.
Подробнее о том, как переводить числа из двоичной системы в десятичную, смотрите здесь.
Смотрите также:
Полезные материалы
Калькуляторы переводов
- Онлайн калькулятор из двоичной в десятичную систему
- Онлайн калькулятор из десятичной в двоичную систему
- Онлайн калькулятор из шестнадцатеричной в десятичную систему
- Онлайн калькулятор из двоичной в шестнадцатеричную систему
- Онлайн калькулятор из восьмеричной в двоичную систему
- Онлайн калькулятор из восьмеричной в шестнадцатеричную систему
Последние примеры переводов из 2-ой в 10-ую систему
- Какое двоичное число соответствует десятичному числу 100000000101?
- Как перевести 10101111111 из двоичной в десятичную систему?
- Переведите двоичное число 10111.011 в десятичную систему счисления
- Перевести число 11111011111111 из двоичной в десятичную систему
- Запишите двоичное число 110010010100010 в десятичной системе
- Представьте двоичное число 10000100000 в десятичной системе
- Представьте двоичное число 111111111111111111001110 в десятичной системе
- Как будет записано двоичное число 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в десятичной системе счисления?
- Переведите число 101111100111 из двоичной в десятичную систему
- Представьте двоичное число 101010111.1 в десятичной системе
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