Question

convert binary 101.1101 to its decimal equivalent ​

Answer 1

$101.1101_2=2^2+2^0+2^{-1} +2^{-2}+2^{-4}=4+1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{16}=\\\\=\dfrac{64}{16}+\dfrac{16}{16}+\dfrac{8}{16}+\dfrac{4}{16}+\dfrac{1}{16}=\dfrac{93}{16}=\dfrac{58125}{10000}=5,8125_{10}$