On the acer switch 10, it has a 64-bit processor, but uses 32-bit windows, so i know windows 32-bit can run with 63-bit, however it may be unstable, as it was not desinged for that hardware. also, some drivers are only available for 64-bit. in conclusion, you can install 32-bit windows on 64-bit computers, but be wary of unsupported drivers, and bugginess.
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