JAMB - Mathematics (2024 - No. 28)

Convert the number 10111.11\(_{two}\) to a mixed number.
23\(\frac{1}{4}\)
23\(\frac{3}{4}\)
22\(\frac{1}{4}\)
24\(\frac{3}{4}\)

Explanation

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\(\frac{3}{4}\)

Comments (0)

Advertisement