I'm looking for a way to optimize float32 value, that contains only values from (0, 1) for wireless transfer.

Since in my case all values are positive, I've already trimmed Sign bit, but now I need some help

I think, that my next step is going to be trimming all Fraction trailing zeroes zeros, and then, somehow optimize Exponent part

But I'm not quite sure, maybe there is already some bit-level optimizations exists for same cases, since using float32 to store values between (0, 1) is very common practice

Data integrity and error correction are not relevant in my case