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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

First we convert the numbers to base ten

  23\(_{five}\)= 2 x 51 + 3 x 50

  = 10 + 3 = 13

  101\(_{five}\) = (1 x 32) + (0 x 31) + (1 x 30)

  = 9 + 0 + 1 = 10

  So, y = 13 + 10 = 23

  To convert 23 to base 2 (as in the diagram above)

Y = 23

  = 10111\(_{five}\)

Answer is B

There is an explanation video available below.


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Explanation Video

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JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB CBT Mobile App 2024 - Free Download
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Mobile App 2024 - Free Download
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709