Since we're off in the weeds, here's how you convert 1100110.11 to base 10.
Shift left by 2, which is equivalent to multiplying by 4:
1100110.11 -> 110011011
Convert the (now point-less) value to decimal:
110011011b -> 411
Divide by the factor of 4 that was introduced above:
411/4 -> 102.75
Problem solved. You'd think people had never manipulated fixed-point numbers before.
