Evaluate \((111_{two})^2 - (101_{two})^2\)
A
10two
B
100two
C
1100two
D
11000two
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\((111_{2})^2 - (101_{2})^2\)
Difference of two squares
\((111 - 101)(111 + 101)\)
= \((10)(1100)\)
= \(11000_{2}\)
Source: Myschool Past Questions Archive (Record #26596)