Number Systems and Codes: Master the Basics of Digital Logic Design

Question 1

Which error detection and correction code uses a parity bit to detect single-bit errors in data transmission?

Accepted Answer

Parity code

Answer

Hamming code

Answer

Checksum

Answer

Cyclic redundancy check (CRC)

Question 2

What is the octal equivalent of the binary number 1011011?

Accepted Answer

137

Answer

135

Answer

133

Answer

131

Question 3

What is the ASCII code for the lowercase letter 'a'?

Accepted Answer

97

Answer

61

Answer

65

Answer

101

Question 4

Which of the following codes uses a self-complementing property?

Accepted Answer

Gray code

Answer

ASCII code

Answer

EBCDIC code

Answer

BCD code

Question 5

What was the primary application of EBCDIC code?

Accepted Answer

Data representation on punched cards

Answer

Data representation on magnetic tapes

Answer

Data representation on optical discs

Answer

Data representation on SSDs

Question 6

Which of the following is NOT an advantage of using a positional number system?

Accepted Answer

Error detection

Answer

Easy to perform arithmetic operations

Answer

Compact representation

Answer

Can represent any number, regardless of its magnitude

Question 7

Which of the following is the correct Gray code sequence for the binary number 1011?

Accepted Answer

1110

Answer

1111

Answer

1101

Answer

1100

Question 8

What is the major distinction between ASCII and EBCDIC codes?

Accepted Answer

Character set

Answer

Number of bits used

Answer

Error detection mechanism

Answer

Data representation format

Question 9

Which of the following is not a valid hexadecimal digit?

Accepted Answer

G

Answer

A

Answer

F

Question 10

Which digit is invalid in the octal number system?

Accepted Answer

9

Answer

1

Answer

3

Answer

8

Question 11

What is the ASCII code for the letter 'A'?

Accepted Answer

65

Answer

75

Answer

85

Answer

95

Question 12

Which code utilizes a self-complementing property?

Accepted Answer

Gray code

Answer

Hamming code

Answer

BCD code

Answer

EBCDIC code

Question 13

What primary advantage does BCD code offer?

Accepted Answer

Simplified addition and subtraction

Answer

Compact representation

Answer

Error detection

Answer

Wide industry adoption

Question 14

What is the Hamming weight of the binary number 1011?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 15

Which of the following is NOT a purpose of error-correcting codes?

Accepted Answer

Error prevention

Answer

Error detection and correction

Answer

Error detection only

Answer

Enhanced data transmission reliability

Question 16

In which application is Gray code commonly employed?

Accepted Answer

Rotary encoders

Answer

Analog-to-digital converters

Answer

Error detection

Answer

Image compression

Question 17

Which of the following is NOT a valid bit pattern in the Gray code system?

Accepted Answer

1010

Answer

0000

Answer

0001

Answer

1110

Question 18

Convert the binary number 101101 to its hexadecimal equivalent?

Accepted Answer

2B

Answer

3B

Answer

4C

Answer

5D

Question 19

Which of the following number systems has a base of 8?

Accepted Answer

Octal

Answer

Binary

Answer

Decimal

Answer

Hexadecimal

Question 20

In the binary number system, the digit immediately to the left of the least significant bit (LSB) represents:

Accepted Answer

2^1

Answer

2^0

Answer

2^2

Answer

2^3

Question 21

Gray code is a type of code that:

Accepted Answer

Has only one bit change between adjacent numbers

Answer

Is used for error detection and correction

Answer

Is more compact than binary code

Answer

Is self-complementing

Question 22

Which of the following codes is used primarily for representing alphanumeric characters?

Accepted Answer

ASCII

Answer

EBCDIC

Answer

BCD

Answer

Gray

Question 23

The Hamming distance between the binary numbers (10110)_2 and (00111)_2 is:

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 24

In digital logic circuits, what is a drawback of utilizing the binary number system?

Accepted Answer

Increased susceptibility to noise and interference

Answer

Simplified circuit design

Answer

Efficient data storage

Answer

Straightforward mathematical operations

Question 25

Which binary number is equivalent to the decimal number 15?

Accepted Answer

1110

Answer

1111

Answer

1101

Answer

1100

Question 26

What is the primary purpose of a Gray code?

Accepted Answer

To minimize bit transitions during data transmission

Answer

To maximize bit transitions during data transmission

Answer

To encode data exclusively in binary format

Answer

To represent continuous signals in digital form

Question 27

Which of the following is NOT a characteristic of the ASCII code?

Accepted Answer

Case-sensitivity

Answer

7-bit character representation

Answer

8-bit extended version available

Answer

Support for international characters

Question 28

In a binary number, what is the significance of the leftmost bit?

Accepted Answer

It represents the greatest power of 2

Answer

It indicates the sign of the number

Answer

It shows the number of digits in the binary representation

Answer

It influences the overall magnitude of the number

Question 29

What is the key advantage of using Gray codes over binary codes for data transmission?

Accepted Answer

Reduced bit transitions

Answer

Increased error correction capability

Answer

Improved signal-to-noise ratio

Answer

Simplified decoding circuits

Question 30

What is the primary purpose of using a Gray code?

Accepted Answer

To minimize bit transitions

Answer

To simplify error detection

Answer

To increase data storage capacity

Answer

To enhance data encryption

Question 31

Which of the following is the correct sequence of steps to convert a decimal number to its binary equivalent using the division method?

Accepted Answer

Divide by 2 and record the remainder

Answer

Multiply by 2 and record the remainder

Answer

Subtract 2 and record the difference

Answer

Add 2 and record the sum

Question 32

What is a key advantage of using a hexadecimal number system over a decimal number system?

Accepted Answer

Hexadecimal numbers require less storage space

Answer

Hexadecimal numbers are more precise

Answer

Hexadecimal numbers are easier to convert

Answer

Hexadecimal numbers are more suitable for representing large numbers

Question 33

Which of the following is a limitation of the Gray code?

Accepted Answer

It is not error-detecting

Answer

It is not self-complementing

Answer

It is difficult to generate

Answer

It is not unique

Question 34

Which of the following is NOT a valid hexadecimal representation of the number 15?

Accepted Answer

5E

Answer

E

Answer

F

Answer

15

Question 35

Which code has the property of being self-complementing?

Accepted Answer

Gray Code

Answer

ASCII

Answer

EBCDIC

Question 36

What is an advantage of using binary coded decimal (BCD) over pure binary representation?

Accepted Answer

Easier conversion to and from decimal

Answer

Increased accuracy

Answer

Faster processing speed

Answer

Reduced storage space

Question 37

Which code uses a variable number of bits to represent characters?

Accepted Answer

Huffman Coding

Answer

Hamming Code

Answer

EBCDIC

Answer

ASCII

Question 38

Which number system is primarily used in digital computers to represent data?

Accepted Answer

Binary

Answer

Octal

Answer

Hexadecimal

Answer

Decimal

Question 39

What is the primary advantage of using Gray code in digital systems?

Accepted Answer

Gray code minimizes the number of bit changes between consecutive values.

Answer

Gray code is more efficient for representing signed numbers.

Answer

Gray code is simpler to convert to other number systems.

Answer

Gray code allows for easier error detection during data transmission.

Question 40

Which of the following is NOT a valid digit in the octal number system?

Accepted Answer

8

Answer

7

Answer

5

Answer

0

Question 41

What is the decimal equivalent of the ASCII code for the character 'A'?

Accepted Answer

65

Answer

67

Answer

68

Answer

66

Question 42

What is the range of decimal values that can be represented by a 4-bit binary number?

Accepted Answer

0 to 15

Answer

0 to 16

Answer

-16 to 15

Answer

-8 to 7

Question 43

Convert the decimal number 153 to its binary equivalent.

Accepted Answer

10011001

Answer

10011101

Answer

10010111

Question 44

What is the decimal equivalent of the binary number 101101?

Accepted Answer

45

Answer

53

Answer

37

Question 45

What is the octal representation of the hexadecimal number 7A?

Accepted Answer

172

Answer

162

Answer

152

Answer

182

Question 46

What is the Gray code representation of the binary number 1011?

Accepted Answer

1100

Answer

1010

Answer

1001

Answer

1110

Question 47

Which of the following ASCII codes represents the uppercase letter 'A'?

Accepted Answer

01000001

Answer

01000100

Answer

01000010

Answer

01000011

Question 48

What is the primary advantage of using Gray codes in digital systems?

Accepted Answer

They prevent errors caused by single-bit transitions.

Answer

They allow for faster data transmission.

Answer

They are more efficient for storing data.

Question 49

A digital system utilizes 8-bit binary numbers to represent data. What is the maximum decimal value that can be represented?

Accepted Answer

255

Answer

256

Answer

127

Question 50

Which of the following codes is commonly used in mainframe computers?

Accepted Answer

EBCDIC

Answer

ASCII

Answer

Gray Code

Question 51

A system uses a 4-bit binary number to represent decimal numbers. What is the decimal equivalent of the binary number 1010?

Accepted Answer

10

Answer

16

Answer

12

Answer

8

Question 52

Which statement accurately describes the relationship between binary, octal, and hexadecimal number systems?

Accepted Answer

They are all positional number systems with different base values.

Answer

They are all based on the same set of digits.

Answer

They are all used for representing only integer values.