In binary notation, what is the meaning of the digits after the radix point “.”?

Question

I have this example on how to convert from a base 10 number to IEEE 754 float representation

Number: 45.25 (base 10) = 101101.01 (base 2) Sign: 0
Normalized          


        

Answer 1

Think of it this way

(dot) 2^-1 2^-2 2^-3 etc

so

. 0/2 + 1/4 + 0/8 + 0/16 etc

See http://floating-point-gui.de/formats/binary/