Question

В велокроссе участвуют 119 спортсменов. Специальное устройство регистрирует прохождение каждым из участников промежуточного финиша, записывая его номер с использованием минимально возможного количества бит, одинакового для каждого спортсмена. Каков информационный объем сообщения, записанного устройством, после того как промежуточный финиш прошли 70 велосипедистов?

Answer 1

Решение:
N=119
2^6=64<7<2^7=128
I ≈7 бит нужно для кодирования 1-ого спортсмена
7 х 70 = 490 бит
Ответ: 490 бит.

Answer 2

Calculating Information Volume in Velocross Message

In velocross, 119 athletes are participating, and a special device records the passage of each participant at the intermediate finish, recording their number using the minimum possible amount of bits, which is the same for each athlete. The question is about the information volume of the message recorded by the device after 70 cyclists have passed the intermediate finish line.

The information volume of the message can be calculated using the formula:

Information Volume = Number of Athletes * Log2(Number of Athletes)

Given that 70 cyclists have passed the intermediate finish line out of 119, the information volume can be calculated as follows:

Information Volume = 70 * Log2(119)

Using the provided formula, the information volume can be calculated.

The information volume of the message recorded by the device after 70 cyclists have passed the intermediate finish line is approximately 490 bits.

Therefore, the information volume of the message recorded by the device after 70 cyclists have passed the intermediate finish line is approximately 490 bits.