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

2.000₁₀ = 2⁺¹ = 10.000₂
1.000₁₀ = 2⁺⁰ = 01.000₂
0.500₁₀ = 2^-1 = 00.100₂
0.250₁₀ = 2^-2 = 00.010₂
0.125₁₀ = 2^-3 = 00.001₂