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Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

Mathematics
NECO 2004

Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

  • A. 10001\(_{two}\)
  • B. 11001\(_{two}\)
  • C. 110001\(_{two}\)
  • D. 11010\(_{two}\)
  • E. 10001\(_{two}\)
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Correct Answer: Option D
Explanation

Convert each value to decimal (base 10)

\(1011_{two}\) → 11

+ \(1101_{two}\) → 13

+ \(1001_{two}\) → 9

- \(111_{two}\) → 7

: 11 + 13 + 9 - 7 = 26

26 → \(11010_{two}\)


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