Discrete math truth table calculator12/29/2023 Solution: Here, we will use X → Y ⇔ ¬X ∨ Y and De Morgan's law, and then we will get the following: (X ∧ Y ∧ Z) ∨ (X ∧ Y ∧ ¬Z) ∨ (¬X ∧ Y ∧ Z) ∨ (¬X ∧ ¬Y ∧ Z)Įxample 3: In this example, we have an expression X → ((X → Y) ∧ ¬(¬Y ∨ ¬X)), and we have to determine the PDNF without constructing the truth table. ⇔ (¬X ∧ Y) ∨ (¬X ∧ ¬Y) ∨ (X ∧ Y) Įxample 2: In this example, we have an expression (X ∧ Y) ∨ (¬X ∧ Z) ∨ (Y ∧ Z), and we have to determine the PDNF. If there are some identical minterms in the disjunction, then we will delete them.Įxample 1: In this example, we have an expression ¬X ∨ Y, and we have to determine the PDNF. After this, we can get minterms in disjunction with the help of introducing the missing factors.
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