in a 64 bit computer is that is capable of transfer 64 bit at a time
64 bit os means it capable of handle these 64 bit at time .but 32 it os use
only half of bus
so "theorytically not practically" 64 bit is 8 time faster than 32 bit os .
and 64 bit os can address more ram  at time .
cause of wide 64 bit address bus. this architecture is called x-64 based bit
and 32 bit os is called x-86 based architecture.
as we know that when be some compiler  are capable of install on both type
of os 32 and 64. that compiler will use 32 bit based
addressing system that result sizeof address 4 byte. if your compiler is
completely build for 64 bit os that definitely it has to use
64 bit address lan that require 8 byte size integer size to hold this wide
address.

so there for 3 type of os is available in market

x86
x64
x86 x64

now Windows 8 will come with 128 bit addressing system

i hope this can make you more clear

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