## Numerical Methods for Engineers and Scientists

1101.001 (Binary number) 3210.-1-2-3 (index/position) 1- Calculate the first part (left side of the dot) $1\times 2^{3} + 1 \times 2^{2} + 0 \times 2^{1} + 1 \times 2^{0} = 13$ 2- Calculate the second part (right side of the dot) $0 \times 2^{-1} + 0 \times 2^{-2}+ 1\times 2^{-3} = 0.125$ 3- Add numbers calculated in 1 and 2 together (whole number + decimal part) $13 + 0.125 = 13.125$