For the binary number $1011001101\mathrm{.}11,$ when converted to a decimal number, it becomes $733\mathrm{.}75.$ When converted to an octal number, it becomes $1345\mathrm{.}6.$ Converting this octal number back to a decimal number also gives $733\mathrm{.}75.$ This verifies that the decimal numbers obtained from both conversions are the same.