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hi guys so today were working on truth tables and these can be found in sort of discrete mathematics or logic type problems so we have our first example here if P then the negation of P and Q so how we start our truth table is by drawing up our columns so the first one that weve got--weve what are P and we also have a Q and then we have here a P and Q and then we have the negation of P and Q and then we have the whole example yeah okay so how we start it off is by going into the very first column and nice and easy just go true true false false head over to the next column and we go true false true false that way weve got every sort of possible combination so that true true true false false true false false then we go into P and Q so what that is saying is they want true in both the P column and the Q column so what yeah the P columns go true the Q column has got a true therefore P and Q is true in the P column here weve got a true and then weve got a false so you dont have a tru