# The data transfer rate through the modem connection is 56 Kbps. It took 12 seconds to transfer the text file over this connection

The data transfer rate through the modem connection is 56 Kbps. It took 12 seconds to transfer the text file over this connection. Determine how many characters the committed text contained if known to be UNICODE encoded.

Given:
V = 56 kbps.
t = 12 s.
K =?
Decision:
Let’s find the size of the transferred text file using the formula I = V * t.
I = 56 * 12 = 672 kbps.
In Unicode, one character is encoded in 2 bytes, that is: i = 2 bytes = 16 bits.
From the formula I = K * i we express K:
K = I: i.
K = 672 Kbps: 16 bits = 672 * 1024 bits: 16 bits = 42 * 1024 = 43008.
Answer: The transmitted text contained 43008 characters.

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