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The length of the code-word obtained by encoding quantized sample is equal to

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The length of the code-word obtained by encoding quantized sample is equal to

(a) l=log(to the base 2)L

(b) l=log(to the base 10)L

(c) l=2log(to the base 2)L

(d) l=log(to the base 2)L/2

The question was posed to me in an internship interview.

My enquiry is from Pulse Code Modulation in section Formatting and Baseband Modulation of Digital Communications

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Correct choice is (a) l=log(to the base 2)L

For explanation: The quantized sample which are digitally encoded into l bit value code-word. The length l can be calculated as l=log(to the base 2)L.

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