Flashcards on Logic gates and truth tables
Logic Gates and Truth Tables: Your Essential Guide to Digital Logic
Tap to flip · Swipe to navigate
Boolean Algebra
14 cards
Card 1
Question: What does Boolean algebra provide the mathematical framework for?
Answer: Analyzing and designing digital circuits.
Card 2
Question: Who developed Boolean algebra?
Answer: George Boole.
Card 3
Question: What are the basic operations defined by Boolean algebra?
Answer: AND, OR, and NOT.
Card 4
Question: What is the Boolean expression for the NOT gate?
Answer: A' (read as "A prime" or "not A"), sometimes denoted as ¬A or Ā.
Card 5
Question: What is the Boolean expression for the AND gate?
Answer: A · B (read as "A AND B"), sometimes denoted as AB.
Card 6
Question: What is the Boolean expression for the OR gate?
Answer: A + B (read as "A OR B").
Card 7
Question: What is the Boolean expression for the XOR gate?
Answer: A ⊕ B (read as "A XOR B").
Card 8
Question: How are De Morgan's laws applied to extend to more than two variables?
Answer: For example, (A · B · C)' = A' + B' + C' and (A + B + C)' = A' · B' · C'.
Card 9
Question: What is the purpose of De Morgan's laws in circuit design?
Answer: These laws are fundamental for converting between AND-OR logic and NAND-NOR logic, which is often necessary for optimizing circuit designs.
Card 10
Question: What is the Boolean identity for applying De Morgan's Law to (X · Y)'?
Answer: (X · Y)' = X' + Y'