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Flashcards: Symbolic Logic

Looking at the following truth table, find the missing operator if

$\text{result}=p\bigstar q$ .

$\begin{tabular}{|c|c|c|} \hline p& q&result\\ \hline T&F&T\\ T&T&T\\ F&T&T\\ F&F&F\\ \hline \end{tabular}$

$\vee$

$\wedge$

$\lnot$

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Flashcards: Symbolic Logic

Looking at the following truth table, find the missing operator if

$\text{result}=p\bigstar q$ .

$\begin{tabular}{|c|c|c|} \hline p& q&result\\ \hline T&F&T\\ T&T&T\\ F&T&T\\ F&F&F\\ \hline \end{tabular}$

Your answer:

$\wedge$

Your answer:

$\lnot$

Your answer:

Correct answer:

$\vee$

Explanation:

To help solve for the missing operator in this truth table, first recall the different operators and there meanings.

$\\\vee:\text{Or} \\\wedge:\text{And} \\\lnot:\text{Not} \\\rightarrow:\text{Implies} \\\Leftrightarrow:\text{Equivalence}$

In truth tables when the "or" operator is used translates to, either and (the constants) being true. When the "and" operator is used that means that for the result to hold true both the constants must be true. The "not" operator negates the answer. The "implies" that the first constant results in the second constant . Lastly, the "equivalency" operator signifies that both constants are the same.

Looking at the truth table,

$\begin{tabular}{|c|c|c|} \hline p& q&result\\ \hline T&F&T\\ T&T&T\\ F&T&T\\ F&F&F\\ \hline \end{tabular}$

and result in a true statement whenever one of the constants is true. Therefore, the missing operator is "or".

In mathematical terms the missing operator is $\vee$ .

Flashcards: Symbolic Logic

Looking at the following truth table, find the missing operator if

$\text{result}=\bigstar p$ .

$\begin{tabular}{|c|c|} \hline p&result\\ \hline T&F\\ F&T\\ \hline \end{tabular}$

$\wedge$

$\rightarrow$

$\lnot$

$\Leftrightarrow$

$\vee$

Report an Error Copyright Notice

Flashcards: Symbolic Logic

Looking at the following truth table, find the missing operator if

$\text{result}=\bigstar p$ .

$\begin{tabular}{|c|c|} \hline p&result\\ \hline T&F\\ F&T\\ \hline \end{tabular}$

Your answer:

$\wedge$

Your answer:

$\rightarrow$

Your answer:

$\Leftrightarrow$

Your answer:

$\vee$

Correct answer:

$\lnot$

Explanation:

To help solve for the missing operator in this truth table, first recall the different operators and there meanings.

$\\\vee:\text{Or} \\\wedge:\text{And} \\\lnot:\text{Not} \\\rightarrow:\text{Implies} \\\Leftrightarrow:\text{Equivalence}$

Looking at the truth table,

$\begin{tabular}{|c|c|} \hline p&result\\ \hline T&F\\ F&T\\ \hline \end{tabular}$

The result is always opposite of the value of . Therefore, the missing operator is "not".

In mathematical terms the missing operator is $\lnot$ .

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Flashcards: Symbolic Logic

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Flashcards: Symbolic Logic

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