In 32 bit float, about 50% of the possible values (no denormals) fall between -0.5 and 0.5 (~2 000 000 000), the space on each side between 0.5 and 1 adds only

In 32 bit float, about 50% of the possible values (no denormals) fall between -0.5 and 0.5 (~2 000 000 000), the space on each side between 0.5 and 1 adds only about 80 million new values.