Nope. 2^0 doesn't take any bits to represent. 2^1=2 is one bit, 2^32=4GB 32=bit. IOW, 1byte=8bit, 4bytes=32 bits.

>2 to the zero power through 2 to the 31st power is 32 bits.
>
>>>
>>>A full 32-bit number (32 one's in a binary number) equals 2 GB, so numbers based on 32-bits cannot address address space beyond 2 GB.
>>
>>A full 32-bit number (2^32 - unsigned integer) is equal 4G. 2GB can be represented by 31-bit number (2^31).