Evaluate \((111_{two})^2 - (101_{two})^2\)
MATHEMATICS
WAEC 2003
Evaluate \((111_{two})^2 - (101_{two})^2\)
- A. 10two
- B. 100two
- C. 1100two
- D. 11000two
Correct Answer: D. 11000two
Explanation
\((111_{2})^2 - (101_{2})^2\)
Difference of two squares
\((111 - 101)(111 + 101)\)
= \((10)(1100)\)
= \(11000_{2}\)
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