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If y = 23\(_{five}\) + 101\(_{three}\) , find y, leaving your answer in base two

Mathematics
JAMB 2018

If y = 23\(_{five}\) + 101\(_{three}\) , find y, leaving your answer in base two

  • A. 1110
  • B. 10111
  • C. 11101
  • D. 111100
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Correct Answer: Option B
Explanation

y = 23\(_{five}\) + 101\(_{three}\)

23\(_{five}\) = \(2 \times 5^1 + 3 \times 5^0\)

= 13\(_{ten}\)

101\(_{three}\) = \(1 \times 3^2 + 0 \times 3^1 + 1 \times 3^0\)

= 10\(_{ten}\)

y\(_{ten}\) = 13\(_{ten}\) + 10\(_{ten}\)

= 23\(_{ten}\)

= 10111\(_{two}\)

There is an explanation video available below.


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Explanation Video

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