Why does windows 7 64bit require more disk space and more RAM?
http://windows.microsoft.com/systemrequirements is where I got the information.
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64 bit applications use larger variables and thus need more RAM.
int (variable integer) on 32bit is generally 2 to the 32nd power, and on 64bit it's generally 2 to the 64th power.
As for the space requirement, Windows installs both 32bit and 64bit versions of it's default applications like Internet Explorer.