Sentences

The logical expression (A AND B) OR (NOT C) evaluates to true if A, B are true and C is false.

In Boolean algebra, the expression NOT (A AND B) is only true if both A and B are false.

A truth table for the logical expression (A OR B) AND (C OR NOT D) would need to consider all possible combinations of the variables.

The conjunction A AND B is true only when both A and B are true.

Using the logical operator NOT, we can negate the condition of A, making it true if A is false and false if A is true.

The disjunction of A OR C is true if A is true, regardless of C’s value.

Conditional logic works such that A → B is false only if A is true and B is false, else it is true.

An XOR (exclusive or) operation will yield true if A is true and B is false, or if A is false and B is true.

In logical expressions, the NOT operator is essential for inverting the truth value of individual conditions.

The conjunction of A AND B ensures that both conditions must be true for the entire expression to be true.

Disjunction (OR) operation is true if at least one of the conditions A or B is true, showcasing its inclusive nature.

When analyzing a complex logical expression, truth tables help in determining all possible outcomes.

Conditional expressions in programming evaluate to TRUE if a specified condition is met; otherwise, they remain FALSE.

Logical operators such as AND, OR, and NOT form the backbone of boolean algebra and computer programming.

In formal logic, the negation of a true statement results in a false statement, and vice versa.

Understanding the disjunction (OR) operator is crucial for evaluating compound logical expressions.

Logical combinations of variables using AND, OR, and NOT operators are fundamental in digital circuit design.

A truth table is a comprehensive tool for laying out and analyzing all possibilities in a complex logical expression.

Conditional statements in programming languages allow for decision-making based on logical conditions.