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    Upvotes52edited Jun 27, 2016 at 8:10

    Hans and DarkDust answer covered i386/i686 and amd64/x86_64, so there's no sense in revisiting them. This answer will focus on X32, and provide some info learned after a X32 port.

    x32 is an ABI for amd64/x86_64 CPUs using 32-bit integers, longs and pointers. The idea is to combine the smaller memory and cache footprint from 32-bit data types with the larger register set of x86_64. (Reference: Debian X32 Port page).

    x32 can provide up to about 30% reduction in memory usage and up to about 40% increase in speed. The use cases for the architecture a...

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    The native architecture of x86-64 processors: residing in the 64-bit Mode, lacks of access mode in segmentation, presenting 64-bit architectural-permit linear address space; an adapted IA-32 architecture residing in the Compatibility Mode alongside 64-bit Mode is provided to support most x86 applications
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