New way of representing floating point

I want to create a new way of representing floating point. In standard IEEE floating point, we have 1 bit to represent sign, 8 bits to represent exponential and 23 bits to represent significand. In the new floating point system, I keep the breakdown of sign/exp/significand but there is no implicit 1 (assume there is no denormalized numbers). For example, in this new scheme to represent 3, we have sign bit 0, exponential bit 0x7F and significand 0x000003. Does this new system of floating point represent a larger unique numeric values than IEEE standard point? My thought is that since both systems have the same breakdown they represent the same number of unique numeric values