Boolean expressions are used in computer science and mathematics to make logical statements that are either true or false. They are named after George Boole, an English mathematician and logician who first defined an algebraic system of logic in the mid 19th century.

The standard representation of Boolean expressions involves using the logical operators AND, OR, and NOT. These operators are used to connect and modify the Boolean variables.

1. AND Operator: This operator returns true if both the statements around it are true. It's usually represented by a multiplication symbol or the word "AND".

2. OR Operator: This operator returns true if at least one of the statements around it is true. It's usually represented by a plus symbol or the word "OR".

3. NOT Operator: This operator returns the inverse of the statement following it. If the statement is true, it returns false, and vice versa. It's usually represented by a bar over the statement or the word "NOT".

For example, if we have two Boolean variables A and B, we can form Boolean expressions like A AND B, A OR B, or NOT A.

These expressions can be represented in a standard form using truth tables, which show the result of the expression for every possible combination of true and false for the variables.

For instance, for the expression A AND B, the truth table would look like this:

| A | B | A AND B |
|---|---|---------|
| T | T | T |
| T | F | F |
| F | T | F |
| F | F | F |

This table shows that A AND B is only true when both A and B are true.

Question

Boolean expressions are used in computer science and mathematics to make logical statements that are either true or false. They are named after George Boole, an English mathematician and logician who first defined an algebraic system of logic in the mid 19th century.

The standard representation of Boolean expressions involves using the logical operators AND, OR, and NOT. These operators are used to connect and modify the Boolean variables.

1. AND Operator: This operator returns true if both the statements around it are true. It's usually represented by a multiplication symbol or the word "AND".

2. OR Operator: This operator returns true if at least one of the statements around it is true. It's usually represented by a plus symbol or the word "OR".

3. NOT Operator: This operator returns the inverse of the statement following it. If the statement is true, it returns false, and vice versa. It's usually represented by a bar over the statement or the word "NOT".

For example, if we have two Boolean variables A and B, we can form Boolean expressions like A AND B, A OR B, or NOT A.

These expressions can be represented in a standard form using truth tables, which show the result of the expression for every possible combination of true and false for the variables.

For instance, for the expression A AND B, the truth table would look like this:

| A | B | A AND B |
|---|---|---------|
| T | T | T       |
| T | F | F       |
| F | T | F       |
| F | F | F       |

This table shows that A AND B is only true when both A and B are true.

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