Question

Let an error control system uses (16, 3) block codes. The coding efficiency of the system will be

• A. 3 bits
• B. 16 bits
• C. 48
• D. 3/16

Hint:

Remember that coding efficiency is always the ratio of number of input bits and number of total bits in the code.

Answer 1

The Correct Option is D

The coding efficiency of a block code is the ratio of the number of information bits (k) to the total number of bits in the codeword (n). For a (16, 3) block code, there are 3 information bits and 16 total bits. Hence, the coding efficiency is given by \[ {Efficiency} = \frac{k}{n} = \frac{3}{16} \]