Question

Купила 11001 в 2 системе тетрадей в клетку и 1111 в 2 системе в линейку,заплатила за всё 120 в 10 системе рублей.Сколько стоит 1 тетрадь,если в клетку и в линейку стоят одинаково.Ответ в двоичной системе.

Answer 1

1) $11001_{2} +1111_{2}=101000_{2}$ тетрадей купили
Переводим 120 руб в двоичный код =$1111000_{2}$
2) $1111000_{2} / 101000_{2} =11_{2}$   руб. стоимость одной тетради

А теперь это же нормальными цифрами:
1) 25+15=40 тетрадей купили
2) 120/40=3 руб стоимость одной тетради.

Answer 2

Calculating the Cost of a Notebook

To calculate the cost of one notebook in the binary system, given that the notebooks in the grid and lined versions cost the same, we can use the information provided in the question.

Let's denote the cost of one notebook in the binary system as x.

The total cost of 11001 grid notebooks and 1111 lined notebooks in the binary system is 120 in the decimal system.

We can set up the following equation to represent this information:

11001x + 1111x = 120

Solving for x will give us the cost of one notebook in the binary system.

Solving for the Cost of One Notebook

Let's solve the equation to find the value of x:

11001x + 1111x = 120

12112x = 120

x = 120 / 12112

x ≈ 0.009909

So, the cost of one notebook in the binary system is approximately 0.009909 in the decimal system.

Converting to Binary

To convert the decimal cost of the notebook to binary, we can use a simple conversion method.

The binary representation of 0.009909 is 0.0000000000001111010100101.

Therefore, the cost of one notebook in the binary system, given that the grid and lined versions cost the same, is approximately 0.0000000000001111010100101.