My point is, that just characterizing a CPU by saying it's an n-bit architecture, doesn't say very much about the complexity of the real thing. You should not

My point is, that just characterizing a CPU by saying it's an n-bit architecture, doesn't say very much about the complexity of the real thing. You should not fall prey to the (in other contexts appropriate) assumption that an increase of one bit inherently doubles complexity (confusing linear with exponential).