Answer
$\approx$ 11377.33984375
Work Step by Step
1 0 1 1 0 0 0 1 1 1 0 0 0 1. 0 1 0 1 0 1 1 1 (binary number)
13-12-11-10-9-8-7-6-5-4-3-2-1-0-(-1)-(-2)-(-3)-(-4)-(-5)-(-6)-(-7)-(-8) (Position/index)
A quicker way to change binary numbers to a decimal number is to look only at which position there is a 1, for zero times anything is always zero.
For the first part:
$2^{13}+2^{11} + 2^{10} + 2^{6} + 2 ^{5} + 2^{4} + 2^{0} = 11377$
Second part:
$2^{-2} + 2^{-4} + 2^{-6} + 2^{-7} + 2^{-8} \approx 0.33984375$
Add the two numbers together:
11377+ 0.33984375 = 11377.33984375
