# The data transfer rate through the modem connection is 51200 bps. It took 10 seconds to transfer the text file over this connection.

**The data transfer rate through the modem connection is 51200 bps. It took 10 seconds to transfer the text file over this connection. Determine how many characters the transmitted text contained if it is known to be represented in 16-bit Unicode.**

Given:

V = 51200 bps

t = 10 s

Find: k – number of characters.

Decision:

Let’s remember right away that in Unicode one character is encoded with 2 bytes, that is, 16 bits.

Let’s first find the volume by the formula: I = V * t,

where I is the volume,

V – speed,

t is time.

1) I = 51200 * 10 = 512000 bits = 512 * 1000 bits

2) And we, of course, know that the size of the text file Q = k * i,

where k is the number of characters,

i is the weight of one symbol.

Since we are looking for k, we express it from the formula: k = Q / i, which means:

k = (512 * 1000) / 16 = 32 * 1000 = 32000 characters

Answer: 32000