32bit Os
In any 32-bit operating system, you are limited to 4096MB [4GB] of RAM simply because the size of a 32-bit value will not allow any more. On a 32-bit system, each process is given 4 GB of virtual memory to play with, which is separated into 2 GB of user space that the application can actually use at a time.
The 4 GB limit for Windows, at least, is also a factor of licensing—the home versions of 32-bit Windows, while technically being able to support PAE[Physical Address Extension], have a hard limit of 4 GB for licensing and driver compatibility reasons.
Not only does 32-bit have a hard limit for the amount of memory it can address, there's also another problem: your devices, like your video card and motherboard BIOS take up room in that same 4 GB space, which means the underlying operating system gets access to even less of your RAM.
64bit Os
On Windows, the 64-bit versions also come with a technology to prevent hijacking the kernel, support for hardware-enabled data execution protection, and mandatory digitally signed 64-bit device drivers.
Do 32-bit Applications Work on 64-Bit?
The vast majority of your 32-bit applications will continue to work just fine on 64-bit Windows, which includes a compatibility layer called WoW64, which actually switches the processor back and forth between 32-bit and 64-bit modes depending on which thread needs to execute—making 32-bit software run smoothly even in the 64-bit environment.
There are some exceptions to that rule, however: 32-bit device drivers and low-level system applications like Antivirus, shell extensions that plug into Windows, and some media applications simply won't work without a 64-bit equivalent.
Which Should I Use?
If you are ordering a new PC with 4 GB or more of RAM, you should probably be running a 64-bit version of Windows so you can use all of the available memory, especially if you want a rig with a large video card
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