Answer
3.8125
Work Step by Step
$11.1101_2$
$=1\times2^1+1\times2^0+1\times\frac{1}{2}+1\times\frac{1}{4}+0\times\frac{1}{8}+1\times\frac{1}{16}$
$=2+1+\frac{1}{2}+\frac{1}{4}+0+\frac{1}{16}$
$=2+1+\frac{8}{16}+\frac{4}{16}+0+\frac{1}{16}$
$=3\frac{13}{16}=3.8125$