Question

Переведите число 151 из десятичной системы счисления в двоичную систему счисления. Сколько единиц содержит полученное число?+решение!

Answer 1

Чтобы перевести число из десятичной системы счисления в двоичную, нужно:

разделить число на 2 с остатком;

полученное частное снова разделить на 2 с остатком;

и т.д. до тех пор, пока в частном не получится 1;

выписать все остатки, начиная с последнего.

См. решение на рисунке

Полученный ответ содержит 5 единиц.

Answer 2

Converting Decimal to Binary

To convert the decimal number 151 to binary, we can use the following steps:

1. Divide the decimal number by 2. 2. Write down the remainder (0 or 1). 3. Divide the quotient obtained in step 1 by 2. 4. Repeat steps 2 and 3 until the quotient becomes 0. 5. Write down the remainders in reverse order to obtain the binary representation.

Let's apply these steps to convert 151 to binary:

1. 151 divided by 2 equals 75 with a remainder of 1. 2. 75 divided by 2 equals 37 with a remainder of 1. 3. 37 divided by 2 equals 18 with a remainder of 1. 4. 18 divided by 2 equals 9 with a remainder of 0. 5. 9 divided by 2 equals 4 with a remainder of 1. 6. 4 divided by 2 equals 2 with a remainder of 0. 7. 2 divided by 2 equals 1 with a remainder of 0. 8. 1 divided by 2 equals 0 with a remainder of 1.

The remainders in reverse order are: 10010111.

Therefore, the binary representation of the decimal number 151 is 10010111.

Number of Ones in the Binary Representation

To determine the number of ones in the binary representation of 151, we count the number of occurrences of the digit 1. In this case, the binary representation of 151 is 10010111, which contains 5 ones.

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