Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)
A
10001\(_{two}\)
B
11001\(_{two}\)
C
110001\(_{two}\)
D
11010\(_{two}\)
E
10001\(_{two}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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 → \(11010_{two}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #42253)