Test Bank—Chapter One (Data Representation)
Multiple Choice Questions
1. Which of the following Boolean operations produces the output 1 for the fewest number
of input patterns?
A. ANDB. OR C. XOR
ANSWER: A
2. Which of the following best describes the NOR operation?
A. An XOR followed by a NOT B. An OR followed by a NOT
C. A NOT followed by a NOT C. An AND followed by a NOT
ANSWER: B
3. Which of the following bit patterns cannot be expressed in hexadecimal notation?
A. 11111111 B. 1001 C. 110011 D. 100000000001
ANSWER: C
4. Which of the following is the binary representation of 4 5/8?
, A. 100.11 B. 10.011 C. 110.101 D. 100.101
ANSWER: D
5. Which of the following bit patterns represents the value 5 in two’s complement notation?
A. 00011010 B. 11111011 C. 00000101 D. 11111011
ANSWER: C
6. Which of the following bit patterns represents the value -5 in two’s complement notation?
A. 00011010 B. 11111011 C. 00000101 D. 11111011
ANSWER: D
7. What is the result of the following addition problem (using two’s compliment notation)?
00001111
+ 10101010
A. 011000101 B. 10111001 C. 01010101 D. 10110101
ANSWER: B
,8. What is the result of the following subtraction problem (using two’s compliment
notation)?
00001111
- 10101010
A. 011000101 B. 10111001 C. 01010101 D. 10110101
ANSWER: A
9. In which of the following addition problems (using two’s complement notation) does an
overflow error occur?
A. 0011 B. 0100 C. 1100
+ 1010 + 0100 + 1100
ANSWER: B
10. Which of the following representations in two’s complement notation represents the
largest value?
A. 00000010 B. 11111111 C. 00000001 D. 11111110
ANSWER: A
11. Which of the following representations in two’s complement notation represents the
smallest value?
, A. 00000010 B. 11111111 C. 00000001 D. 11111100
ANSWER: D
12. Which of the following bit patterns (represented in hexadecimal notation) represents a
negative number in two’s complement notation?
A. 7F B. 55 C. A6 D. 08
ANSWER: C
13. Which of the following bit patterns (represented in hexadecimal notation) represents a
positive number in two’s complement notation?
A. 7F B. F7 C. A8 D. 8A
ANSWER: A
14. What value is represented by the bit pattern 01011100 when interpreted using floating-
point format in which the most significant bit is the sign bit, the next three bits represent
the exponent field in excess notation, and the last four bits represent the mantissa?
A. -1 1/2 B. 1 1/2 C. -3/8 D. 3/8
ANSWER: B
15. Which of the following values cannot be stored accurately using a floating-point format
in which the most significant bit is the sign bit, the next three bits represent the exponent
field in excess notation, and the last four bits represent the mantissa?
Multiple Choice Questions
1. Which of the following Boolean operations produces the output 1 for the fewest number
of input patterns?
A. ANDB. OR C. XOR
ANSWER: A
2. Which of the following best describes the NOR operation?
A. An XOR followed by a NOT B. An OR followed by a NOT
C. A NOT followed by a NOT C. An AND followed by a NOT
ANSWER: B
3. Which of the following bit patterns cannot be expressed in hexadecimal notation?
A. 11111111 B. 1001 C. 110011 D. 100000000001
ANSWER: C
4. Which of the following is the binary representation of 4 5/8?
, A. 100.11 B. 10.011 C. 110.101 D. 100.101
ANSWER: D
5. Which of the following bit patterns represents the value 5 in two’s complement notation?
A. 00011010 B. 11111011 C. 00000101 D. 11111011
ANSWER: C
6. Which of the following bit patterns represents the value -5 in two’s complement notation?
A. 00011010 B. 11111011 C. 00000101 D. 11111011
ANSWER: D
7. What is the result of the following addition problem (using two’s compliment notation)?
00001111
+ 10101010
A. 011000101 B. 10111001 C. 01010101 D. 10110101
ANSWER: B
,8. What is the result of the following subtraction problem (using two’s compliment
notation)?
00001111
- 10101010
A. 011000101 B. 10111001 C. 01010101 D. 10110101
ANSWER: A
9. In which of the following addition problems (using two’s complement notation) does an
overflow error occur?
A. 0011 B. 0100 C. 1100
+ 1010 + 0100 + 1100
ANSWER: B
10. Which of the following representations in two’s complement notation represents the
largest value?
A. 00000010 B. 11111111 C. 00000001 D. 11111110
ANSWER: A
11. Which of the following representations in two’s complement notation represents the
smallest value?
, A. 00000010 B. 11111111 C. 00000001 D. 11111100
ANSWER: D
12. Which of the following bit patterns (represented in hexadecimal notation) represents a
negative number in two’s complement notation?
A. 7F B. 55 C. A6 D. 08
ANSWER: C
13. Which of the following bit patterns (represented in hexadecimal notation) represents a
positive number in two’s complement notation?
A. 7F B. F7 C. A8 D. 8A
ANSWER: A
14. What value is represented by the bit pattern 01011100 when interpreted using floating-
point format in which the most significant bit is the sign bit, the next three bits represent
the exponent field in excess notation, and the last four bits represent the mantissa?
A. -1 1/2 B. 1 1/2 C. -3/8 D. 3/8
ANSWER: B
15. Which of the following values cannot be stored accurately using a floating-point format
in which the most significant bit is the sign bit, the next three bits represent the exponent
field in excess notation, and the last four bits represent the mantissa?
