DLD Final Exam PDF

DLD (Final Exam): Question 1: Which of the following is an example of a logical function in analytical form? Answer: b. (A AND B) OR C Question 2: Which of the following are common methods for representing logical functions in Boolean algebra? Answer: a. Truth table, b. Analytical form, c. Grap...

DLD (Final Exam): Question 1: Which of the following is an example of a logical function in analytical form? Answer: b. (A AND B) OR C Question 2: Which of the following are common methods for representing logical functions in Boolean algebra? Answer: a. Truth table, b. Analytical form, c. Graphical representation Question 3: (This is a repeat of Question 2) Answer: a, b, and c for the reasons given above. Question 4: How can minterms and maxterms be used to represent a Boolean function? Answer: a. By combining them with AND and OR operations, respectively Question 5: Which of the following is true about the representation of minterms and maxterms in a truth table? Answer: a. Minterms correspond to rows where the output is true (1) Question 6: Which of the following terms are synonymous when describing the output of a NOT gate (inverter)? Answer: a. Complemented, b. Inverted, c. Negated Question 7: Which of the following are common applications of NOT gates in digital circuits? Answer: a. Signal inversion for control logic, d. Implementing logic operations in combination with other gates Question 8: When would a NOT gate be used in a digital system? Answer: a. To output a high signal (1) when the input is low (0), c. When the system needs the opposite of a signal Question 9: Which of the following devices rely on logic gates for their operations? Answer: a. Computers, b. Calculators, c. Digital watches Question 10: What are the basic types of logic gates used in digital circuits? Answer: a. AND Gate, b. OR Gate, c. NOT Gate, d. XOR Gate Question 11: When combining basic gates, which of the following can be created? Answer: a. More complex digital systems, b. Complex logical functions, d. Digital systems and circuits, e. Memory devices Question 12: Which of the following statements are true about the NAND gate? Answer: a. It is the inverse of an AND gate, c. It produces an output of "false" only when both inputs are true, d. It produces an output of "true" when at least one input is false Question 13: What is the result of a NOT gate when the input is true? Answer: b. False, d. The input is inverted to false Question 15: Which of the following are derived (composite) logical operators? Answer: a. NOR, b. XOR, c. NAND Question 16: Which of the following statements about logical operators in Boolean algebra are correct? Answer: a. The logical operators NOT, OR, and AND are fundamental for constructing and analyzing logical expressions and digital circuits, c. Logical operators help simplify complex expressions and ensure data integrity Question 17: What is the purpose of a truth table in Boolean algebra? Answer: a. Truth tables help verify the correctness of Boolean expressions and digital circuits, c. Truth tables are useful in simplifying Boolean expressions by comparing outputs, d. Truth tables assist in designing and understanding digital circuits by showing how different combinations of inputs affect the outputs Question 18: Which of the following statements about Boolean algebra are correct? Answer: a. Boolean algebra is a set of rules and regulations suitable for digital circuits, where the answer is either True or False, c. Boolean algebra is fundamental to digital logic design and provides a mathematical framework for describing logical operations Question 19: What is the difference between Boolean algebra and elementary algebra? Answer: a. In Boolean algebra, the values of the variables are true and false (1 and 0), while in elementary algebra, the values of the variables are numbers, c. Boolean algebra uses logical operators such as conjunction (AND), disjunction (OR), and negation (NOT), while elementary algebra uses arithmetic operators like addition, multiplication, subtraction, and division Question 20: What are the advantages of converting Boolean expressions into a logic diagram using only NAND gates? Answer: a. It creates a universal circuit, c. It creates a compact circuit, d. It makes the circuit cost-effective