Chapter.2 Data Representation Test Bank

Test Bank for Prelude to Programming Chapter 2

MULTIPLE CHOICE

1. How many digits are there in the binary system?

2. A normalized binary number consists of three parts. These are:

3. Given the decimal number 4³, the base is:

4. What is the decimal value of 0110₂?

5. What is the binary representation of 62₁₀?

6. Represent 31₁₀ in hexadecimal notation.

7. Convert 00110011₂ to hexadecimal.

8. In sign-and-magnitude format, what does 0111₂ represent?

9. Convert 17₁₀ to an 8-bit integer in sign-and-magnitude format:

10. Convert +12₁₀ to a 4-bit integer in two’s complement format:

11. Convert -15₁₀ to a 4-bit integer in two’s complement format:

12. The standard representation for storing positive, zero, and negative integers is:

13. Floating point numbers always have which of the following:

14. Convert the decimal fraction ½ to binary.

15. Convert the decimal number 0.6₁₀ to a 4-bit binary number.

16. Convert the decimal number 12.4₁₀ to a binary number, allocating 4 bits for the integer part and 4 bits for the fractional part.

17. Convert 5,689,000₁₀ to exponential notation.

18. A single precision floating point number stored in a computer has three parts. They are:

19. Convert +6₁₀ to binary using the Excess_127 system.

20. Convert -12₁₀ to binary using the Excess_127 system.

TRUE/FALSE

1. True/False? There are 9 digits in the hexadecimal system.

2. True/False: Any number can be used as a base for a number system.

3. True/False: In a storage location of 8 bits, a sign-and-magnitude integer could be any integer from 0 to 15, inclusive.

4. True/False: The range of integers that can be stored in one’s complement format is exactly double the range that can be stored in sign-and-magnitude format.

5. True/False: One problem with using one’s complement to store integers is that there are two ways to represent 0.

6. True/False: It is impossible to store the fraction 0.5 in 6 bits as a binary number because 0.5₁₀ = 0.1₂.

7. True/False: To store the binary number 10101₂ in an 8-bit location, simply add three zeros to get 10101000₂.

8. True/False: A number system that uses 19 as a base would be impossible to create because the highest possible number system is 16.

9. True/False: The result of adding the binary digits 1 + 1 is 10.

10. True/False: In one’s complement format, the leftmost bit is saved for the sign where 1 indicates a negative number and 0 indicates a positive number.

11. True/False: The smallest integer that can be represented by a sign-and-magnitude binary number is always 0.

12. True/False: A double precision number always takes up 64 bits in the computer’s memory.

13. True/False: The following two representations are equivalent:

111001011101010101010011₂ and D5D553₁₆

14. True/False: It is impossible to store 16₁₀ in 4-bits because overflow will occur.

15. True/False: The two’s complement representation of +67₁₀ in 8-bits is 1000011₂.

SHORT ANSWER

1. Given the number 45⁵, __________ is the base.

2. (-23)⁰ = __________.

3. There are __________ digits in the binary system.

4. The decimal value of A in the hexadecimal number 6A2 is __________.

5. A very long binary number, such as 111100001010110011100010₂ may be converted to __________ notation to make it easier to read.

6. The one’s complement format is not often used because there are two ways to represent the value of __________ .

7. The unsigned form of an integer does not allow for __________ numbers.

8. The condition known as __________ occurs when you try to store an integer that is bigger than the maximum allowed by the number of bits you have.

9. Given: |-56|. The __________ of this expression is 56.

10. A __________ separates the whole number and fractional parts of a binary floating point number.