EEE 120 Quiz 2 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 binary number
system?
A) It uses ten distinct digits, from 0 to 9.
B) It uses only the digits 0 and 1.
C) It uses eight distinct digits, from 0 to 7.
D) It uses sixteen distinct symbols, from 0 to F.
Correct Answer: It uses only the digits 0 and 1.
Rationale: The binary number system is the foundation of digital electronics and uses only two
digits: 0 and 1. This base-2 system is directly compatible with the two voltage levels (low and
high) used in digital circuits. The decimal system uses ten digits, octal uses eight, and
hexadecimal uses sixteen.
2. What is the decimal equivalent of the binary number (1011)₂?
A) 9
B) 10
C) 11
D) 12
Correct Answer: 11
Rationale: To convert binary 1011 to decimal, calculate (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = 8
+ 0 + 2 + 1 = 11. This is a fundamental conversion in digital design. The other options represent
incorrect calculations.
3. Which number system uses only the digits 0 and 1?
A) Decimal
B) Octal
C) Binary
D) Hexadecimal
Correct Answer: Binary
Rationale: The binary number system is the foundation of digital electronics and uses only two
digits: 0 and 1. This base-2 system is directly compatible with the two voltage levels used in
digital circuits. The other options represent different bases.
4. Convert the decimal number 13 to binary.
,A) 1010
B) 1101
C) 1110
D) 1001
Correct Answer: 1101
Rationale: To convert 13 to binary, repeatedly divide by 2: 13 ÷ 2 = 6 remainder 1, 6 ÷ 2 = 3
remainder 0, 3 ÷ 2 = 1 remainder 1, 1 ÷ 2 = 0 remainder 1. Reading the remainders upward gives
1101. The other options represent different decimal values.
5. 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.
6. What is the primary advantage of using hexadecimal notation in digital systems?
A) It is more compact and easier to read than binary.
B) It allows for faster arithmetic operations than binary.
C) It eliminates the need for two's complement representation.
D) It directly represents decimal numbers.
Correct Answer: It is more compact and easier to read than binary.
Rationale: Hexadecimal notation is more compact because each hex digit represents four binary
bits. This makes it easier to read and write long binary numbers. It does not inherently speed up
arithmetic, eliminate two's complement, or directly represent decimal numbers.
7. How many distinct values can be represented with 4 bits?
A) 4
B) 8
C) 16
D) 32
Correct Answer: 16
, Rationale: With n bits, 2^n distinct values can be represented. For 4 bits, 2^4 = 16 values,
ranging from 0000 to 1111. This is a fundamental concept in digital design.
8. 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.
9. 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.
10. 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.
11. Add the following two's complement binary numbers: 01011 + 11010. What is the sum?
Is there overflow?
Webcam Q&A | Graded A+ | Fall Update 2026-2027
1. Which of the following best describes the primary characteristic of the binary number
system?
A) It uses ten distinct digits, from 0 to 9.
B) It uses only the digits 0 and 1.
C) It uses eight distinct digits, from 0 to 7.
D) It uses sixteen distinct symbols, from 0 to F.
Correct Answer: It uses only the digits 0 and 1.
Rationale: The binary number system is the foundation of digital electronics and uses only two
digits: 0 and 1. This base-2 system is directly compatible with the two voltage levels (low and
high) used in digital circuits. The decimal system uses ten digits, octal uses eight, and
hexadecimal uses sixteen.
2. What is the decimal equivalent of the binary number (1011)₂?
A) 9
B) 10
C) 11
D) 12
Correct Answer: 11
Rationale: To convert binary 1011 to decimal, calculate (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = 8
+ 0 + 2 + 1 = 11. This is a fundamental conversion in digital design. The other options represent
incorrect calculations.
3. Which number system uses only the digits 0 and 1?
A) Decimal
B) Octal
C) Binary
D) Hexadecimal
Correct Answer: Binary
Rationale: The binary number system is the foundation of digital electronics and uses only two
digits: 0 and 1. This base-2 system is directly compatible with the two voltage levels used in
digital circuits. The other options represent different bases.
4. Convert the decimal number 13 to binary.
,A) 1010
B) 1101
C) 1110
D) 1001
Correct Answer: 1101
Rationale: To convert 13 to binary, repeatedly divide by 2: 13 ÷ 2 = 6 remainder 1, 6 ÷ 2 = 3
remainder 0, 3 ÷ 2 = 1 remainder 1, 1 ÷ 2 = 0 remainder 1. Reading the remainders upward gives
1101. The other options represent different decimal values.
5. 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.
6. What is the primary advantage of using hexadecimal notation in digital systems?
A) It is more compact and easier to read than binary.
B) It allows for faster arithmetic operations than binary.
C) It eliminates the need for two's complement representation.
D) It directly represents decimal numbers.
Correct Answer: It is more compact and easier to read than binary.
Rationale: Hexadecimal notation is more compact because each hex digit represents four binary
bits. This makes it easier to read and write long binary numbers. It does not inherently speed up
arithmetic, eliminate two's complement, or directly represent decimal numbers.
7. How many distinct values can be represented with 4 bits?
A) 4
B) 8
C) 16
D) 32
Correct Answer: 16
, Rationale: With n bits, 2^n distinct values can be represented. For 4 bits, 2^4 = 16 values,
ranging from 0000 to 1111. This is a fundamental concept in digital design.
8. 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.
9. 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.
10. 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.
11. Add the following two's complement binary numbers: 01011 + 11010. What is the sum?
Is there overflow?
