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Evaluate \((111_{two})^2 – (101_{two})^2\)

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Mathematics WAEC 2003

Evaluate \((111_{two})^2 – (101_{two})^2\)

  • 10two
  • 100two
  • 1100two
  • 11000two checkmark

The correct answer is: D

Explanation

\((111_{2})^2 - (101_{2})^2\)

Difference of two squares

\((111 - 101)(111 + 101)\)

= \((10)(1100)\)

= \(11000_{2}\)

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