Solution to Q1. Find the truth tables for the following statement forms: 1. p∨ ∼ q 2. … - Sikademy
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Q1. Find the truth tables for the following statement forms: 1. p∨ ∼ q 2. p ∨ (q ∧ r ) 3. (p ∨ q) ∧ (p ∨ r )

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Let us find the truth tables for the following statement forms:


1. p∨ ∼ q


\ \begin{array}{||c|c||c|c||} \hline \hline p & q & \sim q & p\lor \sim q \\ \hline\hline 0 & 0 & 1 & 1\\ \hline 0 & 1 & 0 & 0\\ \hline 1 & 0 & 1 & 1\\ \hline 1 & 1 & 0 & 1\\ \hline\hline \end{array}


2. p ∨ (q ∧ r )


\ \begin{array}{||c|c|c||c|c||} \hline \hline p & q & r & q\land r & p\lor ( q\land r) \\ \hline\hline 0 & 0 & 0 & 0 & 0\\ \hline 0 & 0 & 1 & 0 & 0\\ \hline 0 & 1 & 0 & 0 & 0\\ \hline 0 & 1 & 1 & 1 & 1\\ \hline 1 & 0 & 0 & 0 & 1\\ \hline 1 & 0 & 1 & 0 & 1\\ \hline 1 & 1 & 0 & 0 & 1\\ \hline 1 & 1 & 1 & 1 & 1\\ \hline\hline \end{array}


3. (p ∨ q) ∧ (p ∨ r )


\ \begin{array}{||c|c|c||c|c|c||} \hline \hline p & q & r & p\lor q & p\lor r & (p\lor q)\land(p\lor r) \\ \hline\hline 0 & 0 & 0 & 0 & 0 & 0\\ \hline 0 & 0 & 1 & 0 & 1 & 0\\ \hline 0 & 1 & 0 & 1 & 0 & 0\\ \hline 0 & 1 & 1 & 1 & 1 & 1\\ \hline 1 & 0 & 0 & 1 & 1 & 1\\ \hline 1 & 0 & 1 & 1 & 1 & 1\\ \hline 1 & 1 & 0 & 1 & 1 & 1\\ \hline 1 & 1 & 1 & 1 & 1 & 1\\ \hline\hline \end{array}


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Question ID: mtid-5-stid-8-sqid-2814-qpid-1371