I'm trying to write a XOR operation in assembly language, but the only operations we're allowed to use are AND and NOT, not OR and definitely not XOR. I have looked everywhere online and I can't seem to find the answer. I know: XOR = (P or Q) and ~(P and Q) But I need to rewrite (P or Q) with an AND operation instead. Is this possible?
How to rewrite (P or Q) with AND
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One of De Morgan's laws(a) states that (using
~for negation (not),∧for conjunction (and) and∨for disjunction (or)):In your case or
P ∨ Q,Pis~AandQis~B. So:That right side is therefore the equivalent of
P ∨ Q, using only~and∧operations.(a) And a big thanks for letting me use this knowledge for about the third time since I left University in 1986 :-)