The data transfer rate through the modem connection is 35 Kbps. The transfer of the text file took 2 seconds

The data transfer rate through the modem connection is 35 Kbps. The transfer of the text file took 2 seconds. How many characters the transferred file contained (character is encoded in 16 bits).

Let’s convert the speed of the modem connection from Kbps to bps:

1 kilobit is the same as 1024 bits;

35 * 1024 = 35840.

Let’s determine how large the file will be that was transferred through this modem connection, if from the conditions of our problem we know for sure that it took 2 seconds:

35840 * 2 = 71680.

Let’s determine how many characters were in the specified file, if we know for sure from the condition of our problem that 16 bits were used to encode one character:

71680: 16 = 4480.

Answer: 4480 characters.