Question

What are logical operators for truth tables and how do you make a truth table for them?

There are four logical operators: !, &&, ||, and ^. What are these and how do you put them into a truth table?

Answer 1

Logical operators, including !, &&, ||, and ^, are used in logic to combine statements and form compound statements. A truth table can be created by listing all possible combinations of truth values for the statements and evaluating the compound statements using the logical operators.

Step-by-step explanation:

Logical operators are symbols used in logic to combine statements and form compound statements. The four logical operators mentioned are:

• ! (NOT) operator: It negates the truth value of a statement. For example, if statement A is true, then !A is false.
• && (AND) operator: It returns true if both statements being evaluated are true. For example, if statement A and statement B are both true, then A && B is true. Otherwise, it is false.
• || (OR) operator: It returns true if at least one of the statements being evaluated is true. For example, if either statement A or statement B is true, then A || B is true. Otherwise, it is false.
• ^ (XOR) operator: It returns true if exactly one of the statements being evaluated is true. For example, if statement A is true and statement B is false, or if statement A is false and statement B is true, then A ^ B is true. Otherwise, it is false.

To create a truth table, you list all possible combinations of truth values for the statements involved, and then evaluate the compound statements using the logical operators. The resulting truth values are used to fill in the truth table.