Question

в лыжной гонке участвуют 240 спортсменов. Специальное устройство регистрирует прохождение каждым из участников промежуточного финиша, записывая номер участника цепочкой из нулей и единиц минимальной длины, одинаковой для каждого спортсмена. Каков будет информационный объём сообщения, записанного устройством, после того как промежуточный финиш пройдет половины лыжников?

Answer 1

Число 240 в двоичной системе=11110000 
номер каждого участника состоит из 8 симовлов=8бит=1байт
240*1/2=120байт
ответ:120байт

Answer 2

Calculation of Information Volume

To calculate the information volume of the message recorded by the device, we need to determine the length of the binary chain used to represent each participant's number at the intermediate finish line.

Given that there are 240 participants in the ski race, and the binary chain has the minimum length and is the same for each athlete, we can calculate the information volume.

The number of bits required to represent a participant's number can be calculated using the formula:

Number of bits = log2(number of participants)

In this case, the number of participants is 240, so the number of bits required to represent each participant's number is:

Number of bits = log2(240) = 7.90689

Since we cannot have a fraction of a bit, we need to round up to the nearest whole number. Therefore, each participant's number will require 8 bits.

Now, let's calculate the information volume of the message recorded by the device after half of the skiers have crossed the intermediate finish line.

Since half of the participants have crossed the finish line, the number of skiers who have finished is 240/2 = 120.

To calculate the information volume, we multiply the number of skiers who have finished by the number of bits required to represent each participant's number:

Information volume = Number of skiers who have finished * Number of bits

Information volume = 120 * 8 = 960 bits

Therefore, the information volume of the message recorded by the device after half of the skiers have crossed the intermediate finish line is 960 bits.