Logic Truth Table: Answers Checked

In summary, the conversation is about a logic truth table and the correctness of the given answers. It is mentioned that all but one of the answers are correct.
  • #1
Hotsuma
41
0
Dear All,

Having trouble with a seemingly simple logic truth table. Are these answers correct?

[tex]\begin{tabular}{| c | c | c | c | c | c |}
\hline
p & q & r & (p \vee q)\wedge(q \vee r) & (\neg p \wedge q) \vee ( p \wedge \neg r) & p \rightarrow q \rightarrow r\\
\hline
T & T & T & T & F & T \\
T & T & F & T & T & F \\
T & F & T & T & F & T \\
T & F & F & F & T & F \\
F & T & T & T & T & T \\
F & T & F & T & T & F \\
F & F & T & F & F & T \\
F & F & F & F & F & T \\
\hline
\end{tabular}[/tex]
 
Last edited:
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  • #2
all but one
 

1. What is a logic truth table?

A logic truth table is a visual representation of all possible combinations of inputs and outputs in a logical statement. It shows the logical relationships between the inputs and outputs and helps to determine the validity and truth value of the statement.

2. How is a logic truth table constructed?

A logic truth table is constructed by listing all possible combinations of inputs and creating columns for each input and output. The outputs are then determined using logical operators, such as AND, OR, NOT, and IF-THEN. The final column represents the truth value of the statement for each input combination.

3. What is the purpose of a logic truth table?

The purpose of a logic truth table is to help determine the validity and truth value of a logical statement. It also helps to identify any errors or contradictions in the statement and can be used to simplify complex statements.

4. How is a logic truth table used in research?

In research, a logic truth table can be used to analyze and evaluate the logical relationships between different variables and their corresponding outputs. It can also be used to test hypotheses and validate conclusions.

5. Are there any limitations to using a logic truth table?

Yes, there are some limitations to using a logic truth table. It can only represent statements with a finite number of inputs and outputs, and it may become complex and difficult to read for larger statements. It also assumes that the inputs and outputs are binary (true or false) and may not accurately represent real-world situations.

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