The message is written using an alphabet consisting of 8 characters, which are encoded so that each

The message is written using an alphabet consisting of 8 characters, which are encoded so that each byte contains the maximum possible integer number of characters. Over the existing communication channel, 1024 bits are transmitted per second. What is the baud rate of the message in character / sec.?

1) First, we find the informational weight of one character by the formula N = 2 ^ i (N is equal to 2 to the power of i), where N is the number of characters in the alphabet, i is the weight of one character:

N = 2 ^ i;

8 = 2 ^ i

i = 3 bits;

Each byte encodes the maximum possible number of characters. Since one byte contains 8 bits, each byte can accommodate 2 characters of three bits.

2) The transmission rate is 1024 bit / s = 128 bytes / s;

Since each byte contains 2 characters, the character transmission rate will be 128 * 2 characters / s = 256 characters / s.

Answer: 256 characters / s.