Is it possible to run x86 assembly on a x64 operating system?

Question

Recently I decided that it was worth getting a try on basic x86 assembly so that it would be easier to debug programs, etc, etc. So I started (about a week ago) learning x86 ass

Answer 1

Yes, of course. Most programs are still 32 bit and run fine on 64-bit Windows systems. Those programs are machine language, which has a one-to-one mapping with assembly (and can be easily disassembled into x86 assembly code).