Question
7. Problem 3.23(d) [10 POINTS]: [DNF] Use , Λ,V to give compound propositions with these truth-tables....
![7. Problem 3.23(d) [10 POINTS]: [DNF] Use , Λ,V to give compound propositions with these truth-tables. [Hint: You need only consider the rows uwhich are T. Think OR of ANDs. T TTF T F T F (d) T F FF FTFT FF TF (AND-OR-NOT formulas use only , A, V. Any truth-table can be realized by an AND- ven i one can form (DNF).)](https://i.imgur.com/p6WBeoY.png)
7. Problem 3.23(d) [10 POINTS]: [DNF] Use , Λ,V to give compound propositions with these truth-tables. [Hint: You need only consider the rows uwhich are T. Think OR of AND's. T TTF T F T F (d) T F FF FTFT FF TF (AND-OR-NOT formulas use only , A, V. Any truth-table can be realized by an AND- ven i one can form (DNF).)
Answers
OR of AND's of the given truth table is (p intersection q intersection -r) Union (-p intersection q intersection r) Union (- p intersection q intersection -r) . So, the compound proposition for the given truth table is (p intersection q intersection - r) Union (-p intersection q intersection r) Union (-p intersection q intersection -r) .
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