Using the expansion method on (10110.011)\(_2\) (1 * 2\(^4\)) + (0 * 2\(^3\)) + (1 * 2\(^2\)) + (1 * 2\(^1\)) (0 * 2\(^0\)) + (0 * 2\(^{-1}\)) + (1 * 2\(^{-2}\)) + (1 * 2\(^{-3}\)) (1*16) + 0 (1*4) + (1*2) + 0 + 0 + (1*\(\frac{1}{4}\)) + (1*\(\frac{1}{8}\)) 16 + 4 + 2 + (0.25 + 0.125) 22 + 0.375 (10110.011)\(_2\) = 22.375\(_{10}\)