Question

Сколько байтов составляет сообщение из 64 символов 8 символьного алфавита?

Answer 1

8 символов можно закодировать 3 битами, так как 8=2^3, тоесть 1 символ = 3 бита. 
В таком случае, 64 символов = 3 бита *64=192 бита=192/8 =24 байта 

Answer 2

Calculating the Size of the Message

To calculate the size of a message consisting of 64 characters from an 8-character alphabet, we can use the following steps:

1. Calculate the Number of Possible Combinations: - The number of possible combinations can be calculated using the formula: \( n^{r} \), where \( n \) is the number of different characters in the alphabet and \( r \) is the length of the message.

- From Source the formula for calculating the number of possible combinations is given as: \( 2^{32} \times 64 = 4096 \).

2. Calculate the Size in Bits: - The size in bits can be calculated by multiplying the number of possible combinations by the number of bits required to represent each combination.

- From Source the size in bits is calculated as: \( 4096 \times 16 = 65536 \).

3. Convert Bits to Bytes: - To convert bits to bytes, we divide the total number of bits by 8.

- From Source the calculation is: \( 65536 / 8 = 8192 \).

4. Final Calculation: - Finally, to convert the total number of bytes to kilobytes, we divide by 1024.

- From Source the final calculation is: \( 8192 / 1024 = 8 \).

Therefore, a message consisting of 64 characters from an 8-character alphabet would be 8 kilobytes in size.