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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?

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?

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?

The expressions are the same/equal. Signup and view all the answers

In which case would you use the Product of Sums (PoS) method?

When configuring for terms that yield a 0 outcome. Signup and view all the answers

Which of the following is the correct representation of a boolean expression using the Sum of Products form?

AB + A'C + A'B Signup and view all the answers

What does the duality principle state regarding boolean expressions?

All sums and products can be interchanged. Signup and view all the answers

Which equation is an application of the absorption law?

A + AB = A Signup and view all the answers

Which method uses successive division of a number by the base to convert it into a different base?

Repeated Division Method Signup and view all the answers

What do you record during the Repeated Division Method?

The remainder Signup and view all the answers

To convert the decimal number 123 to binary using the Repeated Subtraction Method, what must you first write down?

All binary place values Signup and view all the answers

What is the binary representation of the decimal number 123?

1111011 Signup and view all the answers

In the conversion of binary to decimal, what is the first step?

Identify the leftmost non-zero bit Signup and view all the answers

What method involves marking binary place values and subtracting from the decimal number?

Repeated Subtraction Method Signup and view all the answers

When converting a decimal number to octal, what base is used?

8 Signup and view all the answers

Which of the following is NOT a base conversion mentioned?

Decimal to Quaternary Signup and view all the answers

What is the relationship between Sum of Products (SoP) and Product of Sums (PoS)?

The dual of one form is equal to the expression in the other form. Signup and view all the answers

In binary addition, what occurs if the sum exceeds 2?

The next position receives a carry of 1. Signup and view all the answers

Which of the following statements about binary subtraction is correct?

The subtraction follows the same rules as decimal subtraction. Signup and view all the answers

What happens during binary addition when adding 1 and 1?

The result is 0 and a 1 is carried to the next position. Signup and view all the answers

What is the output of an AND gate when at least one input is 0?

0 Signup and view all the answers

Which of the following best describes binary numbers?

A number system with base 2. Signup and view all the answers

In binary arithmetic, what is essential for correctly performing operations?

Applying the same rules as those in the decimal number system. Signup and view all the answers

Which gate is formed by combining an AND gate with a NOT gate?

NAND Gate Signup and view all the answers

What condition must be true for the output of an XOR gate to be 1?

Only one input must be 1 Signup and view all the answers

Which statement accurately describes the characteristics of boolean expressions?

They follow specific laws and rules of boolean algebra to simplify. Signup and view all the answers

Which of the following gates is represented by a combination of an OR gate and a NOT gate?

NOR Gate Signup and view all the answers

What does borrowing in binary subtraction involve?

Borrowing from the next position when a value cannot be subtracted. Signup and view all the answers

When drawing a truth table for a logic gate, which of the following is essential?

Display the outputs for every combination of inputs Signup and view all the answers

What is the result of the binary multiplication $1100 \times 1010$?

101100 Signup and view all the answers

Which of the following statements is true regarding binary addition?

1 + 0 = 1 Signup and view all the answers

What is the 1's complement of the binary number 1100011?

1111100 Signup and view all the answers

Which gate is known as the inverter in digital logic?

NOT Gate Signup and view all the answers

In boolean algebra, if the inputs to an OR gate are both 0, what will the output be?

0 Signup and view all the answers

What type of complement is used to simplify the subtraction operation in digital computers?

2's complement Signup and view all the answers

Which of the following represents the binary division rule?

1 ÷ 1 = 0 Signup and view all the answers

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Questions and Answers

What is the main purpose of a truth table in boolean expressions?

Which step is NOT part of finding the Sum of Products (SoP) from a truth table?

When converting between Sum of Products (SoP) and Product of Sums (PoS), which rule is commonly utilized?

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?

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?

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?

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?

What is the binary representation of the decimal number 123?

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?

When converting a decimal number to octal, what base is used?

Which of the following is NOT a base conversion mentioned?

What is the relationship between Sum of Products (SoP) and Product of Sums (PoS)?

In binary addition, what occurs if the sum exceeds 2?

Which of the following statements about binary subtraction is correct?

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?

Which of the following best describes binary numbers?

In binary arithmetic, what is essential for correctly performing operations?

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?

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?

What does borrowing in binary subtraction involve?

When drawing a truth table for a logic gate, which of the following is essential?

What is the result of the binary multiplication $1100 \times 1010$?

Which of the following statements is true regarding binary addition?

What is the 1's complement of the binary number 1100011?

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?

What type of complement is used to simplify the subtraction operation in digital computers?

Which of the following represents the binary division rule?

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