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37 questions with no upvoted or accepted answers
0 votes
1 answer
137 views

Boolean Algebra with OR and XOR in sequence

For an expression like A (OR) B (OR) C (XOR) D, how would I interpret the output? Would it be (A (OR) B (OR) C) (XOR) D or (A (OR) B) (OR) (C (XOR) D)?
StruggleBus's user avatar
0 votes
0 answers
167 views

How to solve a system of 2nd degree boolean equations?

Any ideas on how to solve a system of boolean equations with XOR(+) and AND(*) operations, that can contain x[i] AND x[j] (2nd degree), but not ...
Serge Rogatch's user avatar
0 votes
1 answer
95 views

Completing a logical transformation.

So I have a problem where I need to solve the first part of an implication so that it works with the second part. https://i.sstatic.net/xx5bE.jpg This is the problem as given to me. What i have ...
Samuel Parent's user avatar
0 votes
0 answers
93 views

How to turn this formula into CNF?

This formula $$(p \land q) \lor ( \neg q \lor r) \land ( \neg p \lor r)$$ has the CNF $$(\neg p \lor q \lor r) \land ( p \lor \neg q \lor r)$$ I understand how CNF works, but I can't seem to ...
Shamveel Ahammed's user avatar
0 votes
1 answer
131 views

Converse, inverse and contrapositive statements of $p \to q$

Greetings fellow denizens of Planet Earth. I have a question in regards to propositional logic. My question is in regards to the to one making a statement. I'm going to use 2 random variables p and q. ...
Linuxn00b's user avatar
0 votes
1 answer
248 views

Assistance in proving a tautology using a series of logical equivalences.

I am trying to prove, using a series of logical equivalence rules, that the following formula is a tautology: $$[a∧(a→b)∧(b→c)]→c$$ Yet despite numerous successes on other tautologies and logical ...
Joshua Nicholls's user avatar
-1 votes
2 answers
153 views

How can I tell if this boolean expression is a tautology without proving it?

((X'+ Y)·(Z'+ Y'))' + (Z'+ X') So I proved this to be a tautology. And a follow up question I received was how can I know it's a tautology simply by looking the original boolean expression. I can't ...
uwuwuuwuwuw's user avatar

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