# Number Systems and Codes MCQ Questions & Answers

Number Systems and Codes MCQs : This section focuses on the "Number Systems and Codes". These Multiple Choice Questions (MCQs) should be practiced to improve the Number Systems and Codes skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

When using the repeated division by 2 method of converting from decimal to binary, one must write the first remainder as the:

A. MSB
B. MSB, provided the following sequence of remainders are written in descending order until the final remainder is achieved.
C. LSB
D. LSB, provided the final remainder is used to replace the original LSB, which is then moved to the MSB position.

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Question 2

A decimal 11 in BCD is ________.

A. 1011
B. 1100
C. 10001
D. 10010

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Question 3

Convert 73116 to decimal.

A. 216.4
B. 985
C. 3D9
D. 1841

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Question 4

Which of the following is an invalid BCD code?

A. 11
B. 1101
C. 101
D. 1001

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Question 5

Convert the following decimal number to BCD.127

A. 11100100001
B. 111010001
C. 1010111
D. 100100111

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Question 6

Convert the following octal number to binary.768

A. 1101112
B. 1111102
C. 1111002
D. 1001112

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Question 7

Convert the following octal number to decimal. 358

A. 71
B. 17
C. 92
D. 29

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Question 8

Convert hexadecimal C0B to binary.

A. 1.10E+11
B. 1.10E+11
C. 1.10E+11
D. 1.10E+11

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Question 9

Convert the following binary number to decimal. 010112

A. 11
B. 35
C. 15
D. 10

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Question 10

Convert the binary number 1011010 to hexadecimal.

A. 5B
B. 5F
C. 5A
D. 5C

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Question 11

Convert hexadecimal value C1 to binary.

A. 11000001
B. 1000111
C. 111000100
D. 111000001

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Question 12

The weight of the LSB as a binary number is:

A. 1
B. 2
C. 3
D. 4

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Question 13

The octal number for binary 1101110101110110 is ________.

A. 6545218
B. 5565618
C. 1566568
D. 1565668

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Question 14

The decimal number 18 is equal to the binary number ________.

A. 11110
B. 10001
C. 10010
D. 1111000

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Question 15

An informational signal that makes use of binary digits is considered to be:

A. solid state
B. digital
C. analog
D. non-oscillating

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Question 16

What is the result when a decimal 5238 is converted to base 16?

A. 327.375
B. 12.166
C. 1388
D. 1476

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Question 17

Convert the decimal number 151.75 to binary.

A. 10000111.11
B. 11010011.01
C. 111100
D. 10010111.11

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Question 18

Convert the following hexadecimal number to decimal.1CF16

A. 463
B. 4033
C. 479
D. 4049

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Question 19

Base 10 refers to which number system?

A. binary coded decimal
B. decimal
C. octal
D. hexadecimal

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Question 20

Convert decimal 213 to binary.

A. 11001101
B. 11010101
C. 1111001
D. 11100011

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Question 21

Convert binary 11001111 to hexadecimal.

A. 8F16
B. CE16
C. DF16
D. CF16

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Question 22

The binary number for F3A16 is ________.

A. 1.11E+11
B. 1.11E+11
C. 111010
D. 11000100

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Question 23

Convert the following decimal number to octal.39

A. 638
B. 368
C. 478
D. 748

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Question 24

Convert the following decimal number to octal.281

A. 1348
B. 4318
C. 3318
D. 1338

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Question 25

How many binary digits are required to count to 10010?

A. 7
B. 2
C. 3
D. 100

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Question 26

Convert 8B3F16 to binary.

A. 35647
B. 11010
C. 1.01E+15
D. 1.00E+15

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Question 27

Convert the following octal number to binary.1048

A. 10001002
B. 1000000012
C. 101002
D. 10000012

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Question 28

Convert 52716 to binary.

A. 343
B. 1101000111
C. 10100100111
D. 11100100101

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Question 29

Convert binary 01001110 to decimal.

A. 4E
B. 78
C. 76
D. 116

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Question 30

Determine the decimal equivalent of the signed binary number 11110100 in 1's complement.

A. 116
B. –12
C. 11
D. 128

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Question 31

Assign the proper odd parity bit to the code 111001.

A. 1111011
B. 1111001
C. 111111
D. 11111

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Question 32

The sum of the two BCD numbers, 0011 + 0011, is ________.

A. 110
B. 111
C. 11
D. 1100

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Question 33

Convert the following binary number to octal. 0101111002

A. 1728
B. 2728
C. 1748
D. 2748

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Question 34

Express the decimal number –37 as an 8-bit number in sign-magnitude.

A. 10100101
B. 100101
C. 11011000
D. 11010001

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Question 35

Convert the binary number 1100 to Gray code.

A. 11
B. 1010
C. 1100
D. 1001

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Question 36

Alphanumeric codes should include as a minimum:

A. the capacity to represent the alphabet upper- and lowercase characters and the decimal numbers in a straight binary format.
B. the capacity to code all possible decimal numbers in a direct octal representation of BCD codes.
C. the alphabet upper- and lowercase letters, the decimal digits, the seven punctuation marks, and other characters or symbols.
D. the ability to represent decimal numbers greater than 12810 in a straight binary format.

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Question 37

Convert the binary number 1001.00102 to decimal.

A. 90.125
B. 9.125
C. 125
D. 12.5

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Question 38

Convert the following decimal number to hexadecimal.74

A. A416
B. B416
C. 4A16
D. 4B16

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Question 39

Convert the binary number 1001.0010 to decimal.

A. 125
B. 12.5
C. 90.125
D. 9.125

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Question 40

Which is not a word size?

A. 64
B. 28
C. 16
D. 8

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Question 41

Convert 110010012 (binary) to decimal.

A. 201
B. 2001
C. 20
D. 210

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Question 42

Convert the following binary number to octal. 0011010112

A. 1538
B. 3518
C. 2538
D. 3528

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Question 43

Convert binary 111111110010 to hexadecimal.

A. EE216
B. FF216
C. 2FE16
D. FD216

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Question 44

The base of the hexadecimal system is:

A. eight.
B. sixteen.
C. ten.
D. two.

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Question 45

The binary number 11001110 is equal to the decimal number ________.

A. 12
B. 206
C. 127
D. 66

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Question 46

Sample-and-hold circuits in ADCs are designed to:

A. sample and hold the output of the binary counter during the conversion process
B. stabilize the ADCs threshold voltage during the conversion process
C. stabilize the input analog signal during the conversion process
D. sample and hold the ADC staircase waveform during the conversion process

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Question 47

Convert the following octal number to decimal. 178

A. 51
B. 82
C. 57
D. 15

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Question 48

Convert hexadecimal value 16 to decimal.

A. 2210
B. 1610
C. 1010
D. 2010

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Question 49

How many BCD code bits and how many straight binary bits would be required to represent the decimal number 643?

A. 12 BCD, 12 binary
B. 12 BCD, 10 binary
C. 12 BCD, 9 binary
D. 16 BCD, 9 binary

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Question 50

What is the resultant binary of the decimal problem 49 + 01 = ?

A. 1010101
B. 110101
C. 110010
D. 110001

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Question 51

Convert the following decimal number to 8-bit binary.187

A. 101110112
B. 110111012
C. 101111012
D. 101111002

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Question 52

The binary number for octal 458 is ________.

A. 100010
B. 100101
C. 110101
D. 100100

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Question 53

Convert the following hexadecimal number to binary. 14B16

A. 1.01E+12
B. 1010010112
C. 1010011012
D. 1.10E+12

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Question 54

Convert the following decimal number to 8-bit binary.35

A. 100102
B. 100112
C. 1000112
D. 1000102

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Question 55

Convert the following decimal number to hexadecimal.125

A. 7D16
B. D716
C. 7C16
D. C716

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Question 56

3428 is the decimal value for which of the following binary-coded decimal (BCD) groupings?

A. 1.10E+13
B. 1.10E+13
C. 1.10E+13
D. 1.10E+14

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Question 57

Convert the following binary number to decimal. 100110102

A. 154
B. 155
C. 153
D. 157

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Question 58

What is the difference between binary coding and binary coded decimal?

A. Binary coding is pure binary.
B. BCD is pure binary.
C. Binary coding has a decimal format.
D. BCD has no decimal format.

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Question 59

Convert 17318 to decimal.

A. 216.4
B. 985
C. 3D9
D. 1123

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Question 60

The sum of 11101 + 10111 equals ________.

A. 110011
B. 100001
C. 110100
D. 100100

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Question 61

Which of the following is the primary advantage of using the BCD code instead of straight binary coding?

A. Fewer bits are required to represent a decimal number with the BCD code.
B. The relative ease of converting to and from decimal.
C. BCD codes are easily converted to hexadecimal codes.
D. BCD codes are easily converted to straight binary codes.

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Question 62

3 × 101 + 7 × 100 is equal to ________.

A. 3.7
B. 37
C. 10
D. 370

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Question 63

The binary number 1110 is equal to the decimal number ________.

A. 3
B. 1
C. 7
D. 14

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Question 64

Convert 45710 to hexadecimal.

A. 711
B. 2C7
C. 811
D. 1C9

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Question 65

Convert the following BCD number to decimal.010101101001bcd

A. 539
B. 2551
C. 569
D. 1552

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Question 66

The binary number 11101011000111010 can be written in hexadecimal as ________.

A. DD63A16
B. 1D63A16
C. 1D33A16
D. 1D63116

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Question 67

Convert 59.7210 to BCD.

A. 111011
B. 1011001.011
C. 1110.11
D. 1.01E+14

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Question 68

Convert binary 1001 to hexadecimal.

A. 916
B. 1116
C. 10116
D. 1016

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Question 69

The BCD number for decimal 16 is ________.

A. 10110
B. 10000
C. 10010
D. 11100000

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Question 70

An analog signal has a range from 0 V to 5 V. What is the total number of analog possibilities within this range?

A. 5
B. 50
C. 250
D. infinite

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Question 71

Decode the following ASCII message. 1010011101010010101011000100101100101000001001000100000110100101000100

A. STUDYHARD
B. STUDY HARD
C. stydyhard
D. study hard

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Question 72

The decimal number 188 is equal to the binary number ________.

A. 10111100
B. 111000
C. 1100011
D. 1111000

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Question 73

Digital electronics is based on the ________ numbering system.

A. decimal
B. octal
C. binary
D. hexadecimal

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Question 74

The difference of 111 – 001 equals ________.

A. 100
B. 111
C. 1
D. 110

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Question 75

Hexadecimal letters A through F are used for decimal equivalent values from:

A. 1 through 6
B. 9 through 14
C. 10 through 15
D. 11 through 17

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Question 76

Convert 5278 to binary.

A. 11100111
B. 101010111
C. 343
D. 111010101

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Question 77

Convert 11001010001101012 to hexadecimal.

A. 121035
B. CA35
C. 53AC1
D. 530121

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Question 78

One hex digit is sometimes referred to as a(n):

A. byte
B. nibble
C. grouping
D. instruction

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Question 79

The decimal number for octal 748 is ________.

A. 74
B. 60
C. 22
D. 62

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Question 80

What is the resultant binary of the decimal problem 49 + 1 = ?

A. 1010101
B. 110101
C. 110010
D. 110001

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Question 81

Convert the following decimal number to BCD.469

A. 1.00E+11
B. 10001101001
C. 1.00E+11
D. 1.00E+11

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Question 82

The binary-coded decimal (BCD) system can be used to represent each of the 10 decimal digits as a(n):

A. 4-bit binary code
B. 8-bit binary code
C. 16-bit binary code
D. ASCII code

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Question 83

Which of the following is the most widely used alphanumeric code for computer input and output?

A. Gray
B. ASCII
C. Parity
D. EBCDIC

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Question 84

3428 is the decimal value for which of the following binary coded decimal (BCD) groupings?

A. 1.101E+13
B. 1.101E+13
C. 1.101E+13
D. 1.101E+14

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Question 85

Convert the following hexadecimal number to binary.C916

A. 101110012
B. 101110112
C. 100111002
D. 110010012

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Question 86

Convert the following hexadecimal number to decimal.B516

A. 212
B. 197
C. 165
D. 181

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Question 87

Select one of the following statements that best describes the parity method of error detection.

A. Parity checking is best suited for detecting single-bit errors in transmitted codes.
B. Parity checking is not suitable for detecting single-bit errors in transmitted codes.
C. Parity checking is capable of detecting and correcting errors in transmitted codes.
D. Parity checking is best suited for detecting double-bit errors that occur during the transmission of codes from one location to another.

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Question 88

What is the result when a decimal 5238 is converted to base 16?

A. 327.375
B. 12166
C. 1388
D. 1476

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Question 89

The American Standard Code for Information Interchange (ASCII) uses how many individual pulses for any given character?

A. 1
B. 2
C. 7
D. 8

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Question 90

The octal numbering system:

A. simplifies tasks
B. groups binary numbers in groups of 4
C. saves time
D. simplifies tasks and saves time

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Question 91

The number of bits used to store a BCD digit is:

A. 8
B. 4
C. 1
D. 2

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Question 92

What is the difference between binary coding and binary-coded decimal?

A. BCD is pure binary.
B. Binary coding has a decimal format.
C. BCD has no decimal format.
D. Binary coding is pure binary.

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Question 93

What is the decimal value of the hexadecimal number 777?

A. 191
B. 1911
C. 19
D. 19111

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Question 94

Which is typically the longest: bit, byte, nibble, word?

A. Bit
B. Byte
C. Nibble
D. Word

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Question 95

The 1's complement of 10011101 is ________.

A. 1100010
B. 10011110
C. 1100001
D. 1100011

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Question 96

The binary number 101110101111010 can be written in octal as ________.

A. 515628
B. 565778
C. 656278
D. 565728

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Question 97

The 2's complement of 11100111 is ________.

A. 11100110
B. 11001
C. 11000
D. 11010

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Question 98

When using even parity, where is the parity bit placed?

A. Before the MSB
B. After the LSB
C. In the parity word
D. After the odd parity bit

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Question 99

If a typical PC uses a 20-bit address code, how much memory can the CPU address?

A. 20 MB
B. 10 MB
C. 1 MB
D. 580 MB

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Question 100

A binary number's value changes most drastically when the ________ is changed.

A. MSB
B. frequency
C. LSB
D. duty cycle

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Question 101

How many bits are in an ASCII character?

A. 16
B. 8
C. 7
D. 4

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Question 102

Convert decimal 64 to binary.

A. 1010010
B. 1000000
C. 110110
D. 1001000

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Question 103

The BCD number for decimal 347 is ________.

A. 1100 1011 1000
B. 0011 0100 0111
C. 0011 0100 0001
D. 1100 1011 0110

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Question 104

What decimal number does 25 represent?

A. 10
B. 31
C. 25
D. 32

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Question 105

Convert the Gray code 1011 to binary.

A. 1011
B. 1010
C. 100
D. 1101

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Question 106

Assign the proper even parity bit to the code 1100001.

A. 11100001
B. 1100001
C. 1100001
D. 1110101

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Question 107

Convert the following BCD number to decimal.100000000011bcd

A. 8003
B. 803
C. 1003
D. 103

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Question 108

The voltages in digital electronics are continuously variable.

A. TRUE
B. FALSE

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