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GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 33

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The "two-out-of-five" code comprises all possible binary words of length $5$ containing exactly two $1$'s. Which of the following statements is correct regarding error detection or correction for the "two-out-of-five" code?

  1. The code can detect up to $3$ bits of error and correct $1$ bit of error.
  2. The code can detect up to $2$ bits of error and correct $1$ bit of error.
  3. The code can detect up to $1$ bit of error and cannot correct errors.
  4. The code cannot detect or correct any errors.
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$ \large{\colorbox{yellow}{Detailed video solution of this question with direct time stamp}}$
All India Mock Test 2 - Solutions Part 1

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For detecting codes,

Hamming distance =>

d+1 = 2

=> d= 1

For correcting codes,

Hamming distance =>

2d+1=2

=> d= ½ « 1 =0.
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