Truth Table Homework: Equations and Solutions for T and F

In summary, a truth table is a table used in logic to determine the outputs of a logical expression for all possible combinations of inputs. To solve truth table homework problems, one must first identify all the propositions involved and use logical operators to determine the truth value of the expression for each row. The main purpose of a truth table is to evaluate the truth value of a logical expression and can be used to prove or disprove the validity of an argument. Tips for solving truth table problems include identifying all propositions, using parentheses, and double-checking work. Truth tables can be used for any number of propositions, but as the number of propositions increases, using shorthand notations or generators can be helpful to save time and space.
  • #1
Suyash Singh
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1

Homework Statement


See both images please
97011173-5171-47cc-81b8-0c7e879458f9

upload_2018-5-27_9-37-47.png

Homework Equations


It is truth table.
It has T and F .

The Attempt at a Solution


What is that double line arrow thing?

I can't find on net.
 

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  • #2
Suyash Singh said:
I can't find on net.
Then you're obviously not looking very hard.

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FAQ: Truth Table Homework: Equations and Solutions for T and F

What is a truth table?

A truth table is a table used in logic to determine the outputs of a logical expression for all possible combinations of inputs. It shows all the possible combinations of truth values (T and F) for the propositions involved in the expression and the resulting truth value of the entire expression.

How do I solve truth table homework problems?

To solve truth table homework problems, you first need to identify all the propositions involved in the logical expression and list them in the table's columns. Then, fill in the rows with all possible combinations of truth values for the propositions. Finally, use the logical operators (AND, OR, NOT) to determine the truth value of the expression for each row.

What is the purpose of a truth table?

The main purpose of a truth table is to provide a systematic and organized way to evaluate the truth value of a logical expression for all possible combinations of inputs. It helps in determining whether the expression is true or false and can be used to prove or disprove the validity of an argument.

Are there any tips for solving truth table problems?

Yes, there are a few tips that can make solving truth table problems easier. First, always start by identifying all the propositions involved and list them in the table's columns. Next, use parentheses to group propositions and determine the order of operations. Finally, double-check your work and make sure all the rows are filled correctly and the resulting truth values are accurate.

Can truth tables be used for more than just two propositions?

Yes, truth tables can be used for any number of propositions. However, as the number of propositions increases, the number of rows in the truth table increases exponentially. Therefore, it is important to use shorthand notations or truth table generators to save time and space when dealing with a large number of propositions.

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