at 2:54 i want to clarify that the algebraic conversion of the "and" operation and the "or" operation was backwards. A "^" would convert to multiplication and a "v" would convert to addition. For instance, (a ^ b) v (a ^ c) would be written as (ab) + (ac). Disjunctive form can be described as "a sum of products" where Conjunctive form would be described as "a product of sums" => (a + b)(b+c)(d)
We build the truth table by deciding what will give 1 or true overall in the end. For instance, all options of having A=1 and B=1 will work. So naturally we could have either C=1 or C=0. Then, all options of having A=1 and C=1 would work--so we could have B=0 or B=1. Then, we just put the remaining cases to make everything true which are when B=0. Any other case would yield false or 0 overall--hopefully this helps...
Super underrated. Helped me out a ton thanks!!!!
at 2:54 i want to clarify that the algebraic conversion of the "and" operation and the "or" operation was backwards. A "^" would convert to multiplication and a "v" would convert to addition. For instance, (a ^ b) v (a ^ c) would be written as (ab) + (ac). Disjunctive form can be described as "a sum of products" where Conjunctive form would be described as "a product of sums" => (a + b)(b+c)(d)
very clear, thank you.
By the truth table at 09:01 i was a bit confused though by how you chose to decide where to put 0's.
We build the truth table by deciding what will give 1 or true overall in the end. For instance, all options of having A=1 and B=1 will work. So naturally we could have either C=1 or C=0. Then, all options of having A=1 and C=1 would work--so we could have B=0 or B=1. Then, we just put the remaining cases to make everything true which are when B=0. Any other case would yield false or 0 overall--hopefully this helps...
@@dr.powellsmathclasses149 Thanks a lot for the explanation, helps out a ton!!!
I found it very confusing!!
Nice!!!