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Quantitative Aptitude

Time & Work

The coding ef...

Question

The coding efficiency of a (7, 4) Hamming code is

A

36.36%

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B

42.86%

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C

75%

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D

57.14%

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Solution

The correct option is D 57.14%
The coding efficiency of a (n, k) code can be given as,

$e f f i c i e n c y = \frac{k}{n} \times 100 %$

For a (7, 4) Hamming code,

$e f f i c i e n c y = \frac{4}{7} \times 100 = 57.14 %$

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