Convert the number 10111.11\(_{two}\) to a mixed number.
A
23\(\frac{1}{4}\)
B
23\(\frac{3}{4}\)
C
22\(\frac{1}{4}\)
D
24\(\frac{3}{4}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
10111.11\(_{two}\)
convert the number to base 10.
10111.11\(_{two}\) = 1 x 2\(^4\) + 0 x 2\(^3\) + 1 x \(^2\) + 1 x 2\(^1\) + 1 x 2\(^0\) + 1 x 2\(^{-1}\) + 1 x 2\(^{-2}\)
= 16 + 0 + 4 + 2 + 1 + \(\frac{1}{2}\) + \(\frac{1}{4}\)
= 23 + \(\frac{3}{4}\) = 23\(\frac{3}{4}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #70269)