0.1 via $32\text{ bit}$ is rather easy:
Sign: $0_2 = 0_{10}$
Exponent: $123_{10} = 01111011_2$
Mantissa: $5033165_{10} = 100110011001100110011001101_2$
Now, how do you calculate this, if you've only $8\text{ bit}$ available?
Sign: $1\text{ bit}$, Exponent: $2\text{ bit}$, Mantissa: $5\text{ bit}$
My idea: $S=0; E=01; M=00001$
What do you think?