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Questions and Answers
What is the main purpose of a truth table in boolean expressions?
What is the main purpose of a truth table in boolean expressions?
- To apply the absorption law to boolean functions.
- To simplify complex boolean expressions.
- To display all possible values for the variables and outcomes. (correct)
- To prove that sum of products equals product of sums.
Which step is NOT part of finding the Sum of Products (SoP) from a truth table?
Which step is NOT part of finding the Sum of Products (SoP) from a truth table?
- Write how to obtain 0 for the first selected row. (correct)
- Sum to combine all results.
- Use the product of variables for each selected row.
- Select rows yielding 1 as the outcome.
When converting between Sum of Products (SoP) and Product of Sums (PoS), which rule is commonly utilized?
When converting between Sum of Products (SoP) and Product of Sums (PoS), which rule is commonly utilized?
- Absorption Law
- Complement Law
- Distribution Rule
- De Morgan’s Rule (correct)
What can be concluded if two boolean expressions have the same outcomes in a truth table?
What can be concluded if two boolean expressions have the same outcomes in a truth table?
In which case would you use the Product of Sums (PoS) method?
In which case would you use the Product of Sums (PoS) method?
Which of the following is the correct representation of a boolean expression using the Sum of Products form?
Which of the following is the correct representation of a boolean expression using the Sum of Products form?
What does the duality principle state regarding boolean expressions?
What does the duality principle state regarding boolean expressions?
Which equation is an application of the absorption law?
Which equation is an application of the absorption law?
Which method uses successive division of a number by the base to convert it into a different base?
Which method uses successive division of a number by the base to convert it into a different base?
What do you record during the Repeated Division Method?
What do you record during the Repeated Division Method?
To convert the decimal number 123 to binary using the Repeated Subtraction Method, what must you first write down?
To convert the decimal number 123 to binary using the Repeated Subtraction Method, what must you first write down?
What is the binary representation of the decimal number 123?
What is the binary representation of the decimal number 123?
In the conversion of binary to decimal, what is the first step?
In the conversion of binary to decimal, what is the first step?
What method involves marking binary place values and subtracting from the decimal number?
What method involves marking binary place values and subtracting from the decimal number?
When converting a decimal number to octal, what base is used?
When converting a decimal number to octal, what base is used?
Which of the following is NOT a base conversion mentioned?
Which of the following is NOT a base conversion mentioned?
What is the relationship between Sum of Products (SoP) and Product of Sums (PoS)?
What is the relationship between Sum of Products (SoP) and Product of Sums (PoS)?
In binary addition, what occurs if the sum exceeds 2?
In binary addition, what occurs if the sum exceeds 2?
Which of the following statements about binary subtraction is correct?
Which of the following statements about binary subtraction is correct?
What happens during binary addition when adding 1 and 1?
What happens during binary addition when adding 1 and 1?
What is the output of an AND gate when at least one input is 0?
What is the output of an AND gate when at least one input is 0?
Which of the following best describes binary numbers?
Which of the following best describes binary numbers?
In binary arithmetic, what is essential for correctly performing operations?
In binary arithmetic, what is essential for correctly performing operations?
Which gate is formed by combining an AND gate with a NOT gate?
Which gate is formed by combining an AND gate with a NOT gate?
What condition must be true for the output of an XOR gate to be 1?
What condition must be true for the output of an XOR gate to be 1?
Which statement accurately describes the characteristics of boolean expressions?
Which statement accurately describes the characteristics of boolean expressions?
Which of the following gates is represented by a combination of an OR gate and a NOT gate?
Which of the following gates is represented by a combination of an OR gate and a NOT gate?
What does borrowing in binary subtraction involve?
What does borrowing in binary subtraction involve?
When drawing a truth table for a logic gate, which of the following is essential?
When drawing a truth table for a logic gate, which of the following is essential?
What is the result of the binary multiplication $1100 \times 1010$?
What is the result of the binary multiplication $1100 \times 1010$?
Which of the following statements is true regarding binary addition?
Which of the following statements is true regarding binary addition?
What is the 1's complement of the binary number 1100011?
What is the 1's complement of the binary number 1100011?
Which gate is known as the inverter in digital logic?
Which gate is known as the inverter in digital logic?
In boolean algebra, if the inputs to an OR gate are both 0, what will the output be?
In boolean algebra, if the inputs to an OR gate are both 0, what will the output be?
What type of complement is used to simplify the subtraction operation in digital computers?
What type of complement is used to simplify the subtraction operation in digital computers?
Which of the following represents the binary division rule?
Which of the following represents the binary division rule?
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