1.4.2 Boolean algebra

• The AND operator returns true if both operands are true

  True
• What does the symbol ¬ represent in Boolean algebra?

  NOT
• The AND operator returns true if both operands are true

  True
• The NOT operator is symbolized by ¬

  True
• The negation of (A ∧ B) is equivalent to ¬A ∨ ¬B


  True
• What is the purpose of truth tables in Boolean algebra?

  Understanding Boolean logic
• What is a truth table in Boolean logic?

  Tabular representation of operations
• Boolean algebra is a branch of mathematics that deals with logical values and logical operations
• What does the NOT operator do to an operand?

  Inverts its value
• The OR operation returns true if at least one of the operands is true
• De Morgan's Laws can be used to simplify and transform logical expressions.


  True
• De Morgan's Laws are used to simplify logical expressions involving AND, OR, and NOT operators.


  True
• ¬(A ∨ B) ≡ ¬A ∧ ¬B is a correct application of De Morgan's second law.

  True
• The truth table for A ∧ B shows that it is true only when both A and B are true.

  True
• Match the application of Boolean algebra with its description:

  Digital Circuit Design ↔️ Design logic circuits using gates

  Algorithm Development ↔️ Represent logical conditions

  Conditional Statements ↔️ Control program flow
• What is Boolean algebra a branch of mathematics concerned with?

  Logical values and operations
• Which symbol represents the AND operator in Boolean algebra?

  $∧$
• The symbol ∧ represents the AND operator


  True
• What are the fundamental Boolean operators used in logical expressions?

  AND, OR, NOT
• What are the three fundamental Boolean operations?

  AND, OR, NOT
• The negation of (A ∨ B) is equivalent to ¬A ∧ ¬B
• A truth table for the AND operator shows that it returns true only when both inputs are true


  True
• The truth table for the AND operation shows that it returns true only when both operands are true
• Boolean algebra is essential in computer science for creating algorithms and conditional statements.


  True
• The AND, OR, and NOT operators are fundamental in Boolean algebra.

  True
• The NOT operator inverts the value of its operand.


  True
• Match the De Morgan's Law with its equivalent expression:

  ¬(A ∧ B) ↔️ ¬A ∨ ¬B

  ¬(A ∨ B) ↔️ ¬A ∧ ¬B
• The negation of the conjunction (AND) is equal to the disjunction (OR) of the negations
• Truth tables are widely used in digital circuit design
• In digital circuit design, Boolean algebra is used to design logic circuits using AND, OR, and NOT gates
• Boolean algebra is essential in computer science for designing digital circuits
• The OR operator returns true if at least one operand is true
• Which Boolean operator returns true only if both operands are true?

  AND
• The AND operator is symbolized by ∧
• The NOT operator in Boolean algebra is symbolized by ¬
• What is the equivalent expression for ¬(A ∧ B) according to De Morgan's Laws?

  ¬A ∨ ¬B
• The truth table for the OR operator shows that it returns true if at least one input is true
• Truth tables are used to understand the behavior of Boolean logic gates.


  True
• Under what condition does the AND operator return true?

  Both operands are true
• Match the operator with its definition:

  ∧ ↔️ AND

  ∨ ↔️ OR

  ¬ ↔️ NOT