EEE 120 Quiz 3 Requires Respondus LockDown Browser +
Webcam Q&A | Graded A+ | Fall Update 2026-2027
1. Which of the following best describes the primary characteristic of the hexadecimal
number system?
A) It uses only the digits 0 and 1.
B) It uses eight distinct digits, from 0 to 7.
C) It uses ten distinct digits, from 0 to 9.
D) It uses sixteen distinct symbols, from 0 to F.
Correct Answer: It uses sixteen distinct symbols, from 0 to F.
Rationale: The hexadecimal number system has a base of 16 and uses digits 0–9 along with
letters A–F (where A=10, B=11, C=12, D=13, E=14, F=15). This makes it a compact way to
represent binary data. The binary system uses only 0 and 1, and the octal system uses 0–7.
2. What is the decimal equivalent of the unsigned binary number (1101)₂?
A) 11
B) 12
C) 13
D) 14
Correct Answer: 13
Rationale: To convert unsigned binary 1101 to decimal, calculate (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1
× 2⁰) = 8 + 4 + 0 + 1 = 13. This is a fundamental conversion in digital design. The other options
represent incorrect calculations.
3. Convert the decimal number 194 to an unsigned 8-bit binary number.
A) 11000001
B) 11000010
C) 11000100
,D) 11001000
Correct Answer: 11000010
Rationale: To convert 194 to binary, repeatedly divide by 2: 194 ÷ 2 = 97 R0, 97 ÷ 2 = 48 R1, 48 ÷
2 = 24 R0, 24 ÷ 2 = 12 R0, 12 ÷ 2 = 6 R0, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1. Reading the
remainders from MSB to LSB gives 11000010.
4. What is the hexadecimal equivalent of the binary number 1010 1111?
A) AF
B) FA
C) 9F
D) A5
Correct Answer: AF
Rationale: Grouping the binary number into nibbles: 1010 = A and 1111 = F. Therefore, the
hexadecimal equivalent is AF. This conversion is essential for representing long binary numbers
in a compact form.
5. How many distinct values can be represented with 5 bits?
A) 5
B) 10
C) 16
D) 32
Correct Answer: 32
Rationale: With n bits, 2^n distinct values can be represented. For 5 bits, 2^5 = 32 values,
ranging from 00000 to 11111. This is a fundamental concept in digital design.
6. What is the 8-bit two's complement representation of the decimal number -40?
A) 11011000
B) 10101000
C) 11010111
D) 00101000
Correct Answer: 11011000
, Rationale: To find the two's complement of -40, first find the binary of +40 (00101000), then
invert all bits (11010111) and add 1 (11011000). This method is used to represent negative
numbers in binary.
7. What is the two's complement of the 8-bit binary number 01111110?
A) 10000001
B) 10000010
C) 01111111
D) 10000000
Correct Answer: 10000010
Rationale: Step 1: Invert bits: 01111110 → 10000001. Step 2: Add 1: 10000001 + 00000001 =
10000010. This process converts a positive binary number to its negative two's complement
equivalent.
8. Add the following two's complement binary numbers: 10101 + 00111. What is the sum?
Is there overflow?
A) 11100, no overflow
B) 11100, overflow
C) 00101, no overflow
D) 00101, overflow
Correct Answer: 11100, no overflow
Rationale: 10101₂ (decimal -11) + 00111₂ (decimal 7) = 11100₂ (decimal -4). There is no
overflow because the result fits within the 5-bit signed range (-16 to +15). The addition: 10101 +
00111 = 11100.
9. Add the following two's complement binary numbers: 01011 + 11010. What is the sum?
Is there overflow?
A) 11100, no overflow
B) 11100, overflow
C) 00101, no overflow
D) 00101, overflow
Correct Answer: 00101, no overflow
Webcam Q&A | Graded A+ | Fall Update 2026-2027
1. Which of the following best describes the primary characteristic of the hexadecimal
number system?
A) It uses only the digits 0 and 1.
B) It uses eight distinct digits, from 0 to 7.
C) It uses ten distinct digits, from 0 to 9.
D) It uses sixteen distinct symbols, from 0 to F.
Correct Answer: It uses sixteen distinct symbols, from 0 to F.
Rationale: The hexadecimal number system has a base of 16 and uses digits 0–9 along with
letters A–F (where A=10, B=11, C=12, D=13, E=14, F=15). This makes it a compact way to
represent binary data. The binary system uses only 0 and 1, and the octal system uses 0–7.
2. What is the decimal equivalent of the unsigned binary number (1101)₂?
A) 11
B) 12
C) 13
D) 14
Correct Answer: 13
Rationale: To convert unsigned binary 1101 to decimal, calculate (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1
× 2⁰) = 8 + 4 + 0 + 1 = 13. This is a fundamental conversion in digital design. The other options
represent incorrect calculations.
3. Convert the decimal number 194 to an unsigned 8-bit binary number.
A) 11000001
B) 11000010
C) 11000100
,D) 11001000
Correct Answer: 11000010
Rationale: To convert 194 to binary, repeatedly divide by 2: 194 ÷ 2 = 97 R0, 97 ÷ 2 = 48 R1, 48 ÷
2 = 24 R0, 24 ÷ 2 = 12 R0, 12 ÷ 2 = 6 R0, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1. Reading the
remainders from MSB to LSB gives 11000010.
4. What is the hexadecimal equivalent of the binary number 1010 1111?
A) AF
B) FA
C) 9F
D) A5
Correct Answer: AF
Rationale: Grouping the binary number into nibbles: 1010 = A and 1111 = F. Therefore, the
hexadecimal equivalent is AF. This conversion is essential for representing long binary numbers
in a compact form.
5. How many distinct values can be represented with 5 bits?
A) 5
B) 10
C) 16
D) 32
Correct Answer: 32
Rationale: With n bits, 2^n distinct values can be represented. For 5 bits, 2^5 = 32 values,
ranging from 00000 to 11111. This is a fundamental concept in digital design.
6. What is the 8-bit two's complement representation of the decimal number -40?
A) 11011000
B) 10101000
C) 11010111
D) 00101000
Correct Answer: 11011000
, Rationale: To find the two's complement of -40, first find the binary of +40 (00101000), then
invert all bits (11010111) and add 1 (11011000). This method is used to represent negative
numbers in binary.
7. What is the two's complement of the 8-bit binary number 01111110?
A) 10000001
B) 10000010
C) 01111111
D) 10000000
Correct Answer: 10000010
Rationale: Step 1: Invert bits: 01111110 → 10000001. Step 2: Add 1: 10000001 + 00000001 =
10000010. This process converts a positive binary number to its negative two's complement
equivalent.
8. Add the following two's complement binary numbers: 10101 + 00111. What is the sum?
Is there overflow?
A) 11100, no overflow
B) 11100, overflow
C) 00101, no overflow
D) 00101, overflow
Correct Answer: 11100, no overflow
Rationale: 10101₂ (decimal -11) + 00111₂ (decimal 7) = 11100₂ (decimal -4). There is no
overflow because the result fits within the 5-bit signed range (-16 to +15). The addition: 10101 +
00111 = 11100.
9. Add the following two's complement binary numbers: 01011 + 11010. What is the sum?
Is there overflow?
A) 11100, no overflow
B) 11100, overflow
C) 00101, no overflow
D) 00101, overflow
Correct Answer: 00101, no overflow
