1 + 1 = Two.

One plus one equals two.

One + 0x01 ≡ 2.0

1+1=10 (in binary)

None of these are "vastly different conclusions". None of these are starting from different premises. None of these are using different reasoning. You're literally just writing it differently. Okay, so? This is a pointless distinction that doesn't even apply in a verbal debate at all. It'd be like having a philosophical debate with someone and them suddenly saying "oh yeah, but what if we were arguing in Spanish!? Wouldn't that BLOW YOUR MIND!?" No? It has absolutely nothing to do with anything. I would be annoyed at you if you tried to use this in an argument with me.