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Convert 89\(_{10}\) to a number in base two.

Mathematics
WAEC 1993

Convert 89\(_{10}\) to a number in base two.

  • A. 1101001
  • B. 1011001
  • C. 1001101
  • D. 101101
  • E. 11001
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Correct Answer: Option B
Explanation

\(89_{10}\)

2 89
2 44 r 1
2 22 r 0
2 11 r 0
2 5 r 1
2 2 r 1
2 1 r 0
  0 r 1

\(89_{10} = 1011001_{2}\)

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