[Discrete Mathematics] Exclusive Or Example

We introduce the logical operator XOR and do some questions with it.
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[@Trevtutor]

Check out my new course in Propositional Logic: trevtutor.com/p/master-discrete-mathematics-propositional-logic
It comes with video lectures, text lectures, practice problems, solutions, and a practice final exam!

[@jonathant4280]

when this tutor is better than 70% of the professors

[@peterchen3458]

really like your videos! wish you can make more.

[@francofazzolari7973]

so "P xor not Q" is equivalent to "not (P xor Q)"?

[@materialknight]

Yes, and thanks to your amazing insight, I know now that the following formulas are equivalent:
~(p⊕q), ~p⊕q, p⊕~q, p↔️q

[@pawlo5167]

what is the order of performing operations with xor when we don't have parentheses

[@webdev4786]

I have some programming questions to deal with. it involves random exclusive sums like (1 XOR 7). can you guys make scenes out of that.

[@hassanraza3982]

Which app or a website you used to make such type of videos

[@ghazalshall9367]

when do we put two rows please help

[@swayamshreemohanty377]

P is always going to be the same value as itself, so why is it 0 not 1 ?

[@MrGamerboy40]

what app are you using to write with your pen tablet?

[@adosar5414]

if ab=0 then a=0 or b=0...why both cant be 0?

[@MrKB_SSJ2]

2:27

[@ibrarsandhu1251]

in the time stamp 1.42 how did u get those 0's? for pxorp, u said p is always going to be the same value as its self but i don't get it

[@sitinurliana5614]

p xor q = 1 only if p is not equal to q. Since p xor p is basically 0 xor 0 and 1 xor 1 so the result for both will be 0.

[@MrKB_SSJ2]

0:00

[@zaylo9273]

If there is a third unknown variable, do we give them 1010 or 1100 in truth table?

[@dylanang7173]

It's been a while so I'm sure you don't need it, but for anyone in the future, if you had a third proposition, you'd need to make 2^3, or 8, rows, rather than 4. This is because with 3 propositions you have 8 possible combinations.

[@dob31121993]

i guess there is a small error in this example..

[@Trevtutor]

where?

[@mattc16]

Wondering if you have been frustrated over this "small error" that was never told to you for a whole year. I believe the "small error" he is talking about is that when you said the values for X V Y, you said, "one, one, one, one, one". That would be five ones, when there are only four xD