DE Activity 2.3.4

Multiple Choice

Which of the following is a key use of the 2’s complement process in digital electronics?

• To represent negative numbers in binary

• To increase the speed of processors

• To store decimal numbers directly

• To simplify multiplication operations

Open Ended

Why is it important to understand how negative numbers are represented in the binary number system?

Multiple Choice

Which of the following best describes the purpose of a carry in binary addition?

• To indicate an overflow in decimal addition

• To represent a negative number

• To transfer a value to the next higher bit position

• To subtract two binary numbers

Open Ended

Explain how the 2's complement process eliminates the need for a subtract-er circuit in digital electronics.

Multiple Select

In digital electronics, why can't you simply put a minus sign in front of a number to make it negative?

• Because binary numbers do not support negative signs

• Because all arithmetic must be performed in a fixed-length system

• Because memory devices cannot store negative numbers

• Because negative numbers are not used in digital electronics

Fill in the Blanks

A bicycle odometer with only three digits is an example of a

decimal number system.

Open Ended

How are negative numbers represented in a 3-digit decimal number system without using a sign?

Multiple Choice

When performing odometer math, what should you do if an overflow occurs?

• Subtract the overflow value

• Disregard the overflow

• Add the overflow to the result

• Restart the calculation

Multiple Choice

What is the main difference between converting small negative numbers and large negative numbers in the decimal system?

• Small negative numbers can be converted by simple counting backwards, while large negative numbers require the 10’s Complement Process.

• Small negative numbers use the 2’s Complement Process, while large negative numbers use the 10’s Complement Process.

• Both small and large negative numbers use the same conversion method.

• Small negative numbers are converted using binary, while large negative numbers use decimal.

Multiple Select

Which of the following are correct steps in the 10’s Complement Process?

• Complement all digits in the number

• Add 1 to the result

• Subtract 1 from the result

• Multiply all digits by 9

Open Ended

Explain the steps involved in the 10’s Complement Process for converting a decimal number to its negative equivalent.

Fill in the Blanks

The MSB in a signed binary number is called the

bit.

Multiple Choice

In the 8-bit binary number system, what is the significance of the most significant bit (MSB)?

• It determines whether the number is positive or negative.

• It indicates the least significant digit.

• It is always set to 1.

• It is used for error checking.

Open Ended

Compare the steps of the 10’s Complement Process and the 2’s Complement Process. What is similar and what is different?

Multiple Choice

Which step is necessary to convert a positive binary number to its negative equivalent using 2's complement?

• Invert the digits and add 1

• Invert the digits only

• Add 1 to the original number

• Subtract 1 from the original number

Fill in the Blanks

If you add 9 (00001001) and 5 (00000101) in binary, the result is

Open Ended

Explain the process of adding two numbers using 2's complement when one number is positive and the other is negative.

Open Ended

Describe how you would check the correctness of a negative result obtained from adding two numbers using 2's complement.

Multiple Choice

What does the 8th bit indicate in the result of binary addition using 2's complement?

• Whether the answer is positive or negative

• The value of the answer

• The need to perform another complement

• The number of bits used

Multiple Select

Which of the following statements are true about binary addition in the context of 2's complement?

• Adding two positive numbers does not require 2's complement.

• Adding a positive and a negative number requires converting the negative number using 2's complement.

• Adding two negative numbers requires converting both numbers using 2's complement.

• Adding two positive numbers always results in a negative answer.

Multiple Choice

Which of the following statements best describes the process of creating negative numbers in the binary number system using 2's complement?

• Invert all bits and add 1 to the result

• Invert all bits and subtract 1 from the result

• Add a sign bit to the binary number

• Multiply the binary number by -1

Open Ended

Explain how the 2's complement process can be used to add and subtract binary numbers. Why is this method useful in digital electronics?