- #1
rymatson406
- 3
- 0
(p ^ q) ->(p ▼ ~q)
Need help creating a truth table (6 columns) for the above.Thanks
Need help creating a truth table (6 columns) for the above.Thanks
Create a truth table for: .[tex](p \wedge q)\;\to\;(p \,\vee \sim q)[/tex]
A truth table is a table that shows all possible combinations of truth values for a logical expression. It is used to evaluate the truthfulness of a statement or to determine the validity of an argument.
The symbol ^ represents the logical operator "and" in a truth table. It means that both statements on either side of the symbol must be true for the entire statement to be true.
The symbol ▼ represents the logical operator "or" in a truth table. It means that at least one of the statements on either side of the symbol must be true for the entire statement to be true.
To read a truth table, you start from the left and read each row as a separate statement. The columns represent the different variables or statements in the expression, and the rows represent the possible combinations of truth values for those variables. You then look at the final column to see the resulting truth value for the entire expression.
To create a truth table for a logical expression, you first list all of the variables or statements in the expression. Then, you create columns for each variable and fill in all possible combinations of truth values for those variables. Next, you write out the logical expression using the appropriate symbols and evaluate the truth value for each combination of truth values. Finally, you write the resulting truth value in the final column of the table.