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
Convert the Gray code 1011 to binary.
A. 1011
B. 1010
C. 100
D. 1101
Question 2
Convert the following binary number to octal. 0101111002
A. 1728
B. 2728
C. 1748
D. 2748
Question 3
Convert 17318 to decimal.
A. 216.4
B. 985
C. 3D9
D. 1123
Question 4
How many bits are in an ASCII character?
A. 16
B. 8
C. 7
D. 4
Question 5
Convert the following decimal number to BCD.469
A. 1.00E+11
B. 10001101001
C. 1.00E+11
D. 1.00E+11
Question 6
Which is typically the longest: bit, byte, nibble, word?
A. Bit
B. Byte
C. Nibble
D. Word
Question 7
Which is not a word size?
A. 64
B. 28
C. 16
D. 8
Question 8
The decimal number 18 is equal to the binary number ________.
A. 11110
B. 10001
C. 10010
D. 1111000
Question 9
Convert 59.7210 to BCD.
A. 111011
B. 1011001.011
C. 1110.11
D. 1.01E+14
Question 10
The base of the hexadecimal system is:
A. eight.
B. sixteen.
C. ten.
D. two.
Question 11
The sum of the two BCD numbers, 0011 + 0011, is ________.
A. 110
B. 111
C. 11
D. 1100
Question 12
Convert the binary number 1100 to Gray code.
A. 11
B. 1010
C. 1100
D. 1001
Question 13
Convert the following octal number to decimal. 178
A. 51
B. 82
C. 57
D. 15
Question 14
The octal number for binary 1101110101110110 is ________.
A. 6545218
B. 5565618
C. 1566568
D. 1565668
Question 15
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
Question 16
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.
Question 17
Which of the following is an invalid BCD code?
A. 11
B. 1101
C. 101
D. 1001
Question 18
The binary number 1110 is equal to the decimal number ________.
A. 3
B. 1
C. 7
D. 14
Question 19
Convert 8B3F16 to binary.
A. 35647
B. 11010
C. 1.01E+15
D. 1.00E+15
Question 20
Convert the following BCD number to decimal.100000000011bcd
A. 8003
B. 803
C. 1003
D. 103
Question 21
Convert the following octal number to binary.1048
A. 10001002
B. 1000000012
C. 101002
D. 10000012
Question 22
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.
Question 23
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
Question 24
Convert hexadecimal value 16 to decimal.
A. 2210
B. 1610
C. 1010
D. 2010
Question 25
Digital electronics is based on the ________ numbering system.
A. decimal
B. octal
C. binary
D. hexadecimal
Question 26
The BCD number for decimal 16 is ________.
A. 10110
B. 10000
C. 10010
D. 11100000
Question 27
Convert the following binary number to decimal. 010112
A. 11
B. 35
C. 15
D. 10
Question 28
Assign the proper odd parity bit to the code 111001.
A. 1111011
B. 1111001
C. 111111
D. 11111
Question 29
Convert the binary number 1011010 to hexadecimal.
A. 5B
B. 5F
C. 5A
D. 5C
Question 30
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
Question 31
The binary number 11001110 is equal to the decimal number ________.
A. 12
B. 206
C. 127
D. 66
Question 32
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.
Question 33
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
Question 34
The binary number for F3A16 is ________.
A. 1.11E+11
B. 1.11E+11
C. 111010
D. 11000100
Question 35
Convert decimal 64 to binary.
A. 1010010
B. 1000000
C. 110110
D. 1001000
Question 36
Convert 5278 to binary.
A. 11100111
B. 101010111
C. 343
D. 111010101
Question 37
Convert the decimal number 151.75 to binary.
A. 10000111.11
B. 11010011.01
C. 111100
D. 10010111.11
Question 38
The weight of the LSB as a binary number is:
A. 1
B. 2
C. 3
D. 4
Question 39
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.
Question 40
The 2's complement of 11100111 is ________.
A. 11100110
B. 11001
C. 11000
D. 11010
Question 41
What decimal number does 25 represent?
A. 10
B. 31
C. 25
D. 32
Question 42
What is the resultant binary of the decimal problem 49 + 1 = ?
A. 1010101
B. 110101
C. 110010
D. 110001
Question 43
Convert the following hexadecimal number to decimal.B516
A. 212
B. 197
C. 165
D. 181
Question 44
Convert binary 01001110 to decimal.
A. 4E
B. 78
C. 76
D. 116
Question 45
Convert the following decimal number to hexadecimal.74
A. A416
B. B416
C. 4A16
D. 4B16
Question 46
Convert the following decimal number to octal.281
A. 1348
B. 4318
C. 3318
D. 1338
Question 47
What is the resultant binary of the decimal problem 49 + 01 = ?
A. 1010101
B. 110101
C. 110010
D. 110001
Question 48
An informational signal that makes use of binary digits is considered to be:
A. solid state
B. digital
C. analog
D. non-oscillating
Question 49
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
Question 50
The decimal number for octal 748 is ________.
A. 74
B. 60
C. 22
D. 62
Question 51
Convert the following octal number to decimal. 358
A. 71
B. 17
C. 92
D. 29
Question 52
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
Question 53
Decode the following ASCII message. 1010011101010010101011000100101100101000001001000100000110100101000100
A. STUDYHARD
B. STUDY HARD
C. stydyhard
D. study hard
Question 54
Convert 73116 to decimal.
A. 216.4
B. 985
C. 3D9
D. 1841
Question 55
Convert the following hexadecimal number to binary. 14B16
A. 1.01E+12
B. 1010010112
C. 1010011012
D. 1.10E+12
Question 56
Convert hexadecimal value C1 to binary.
A. 11000001
B. 1000111
C. 111000100
D. 111000001
Question 57
Convert the following decimal number to BCD.127
A. 11100100001
B. 111010001
C. 1010111
D. 100100111
Question 58
Determine the decimal equivalent of the signed binary number 11110100 in 1's complement.
A. 116
B. –12
C. 11
D. 128
Question 59
Convert 45710 to hexadecimal.
A. 711
B. 2C7
C. 811
D. 1C9
Question 60
The decimal number 188 is equal to the binary number ________.
A. 10111100
B. 111000
C. 1100011
D. 1111000
Question 61
Convert 11001010001101012 to hexadecimal.
A. 121035
B. CA35
C. 53AC1
D. 530121
Question 62
Convert the following decimal number to 8-bit binary.187
A. 101110112
B. 110111012
C. 101111012
D. 101111002
Question 63
Which of the following is the most widely used alphanumeric code for computer input and output?
A. Gray
B. ASCII
C. Parity
D. EBCDIC
Question 64
The sum of 11101 + 10111 equals ________.
A. 110011
B. 100001
C. 110100
D. 100100
Question 65
The octal numbering system:
A. simplifies tasks
B. groups binary numbers in groups of 4
C. saves time
D. simplifies tasks and saves time
Question 66
Convert 52716 to binary.
A. 343
B. 1101000111
C. 10100100111
D. 11100100101
Question 67
Express the decimal number –37 as an 8-bit number in sign-magnitude.
A. 10100101
B. 100101
C. 11011000
D. 11010001
Question 68
Convert the binary number 1001.0010 to decimal.
A. 125
B. 12.5
C. 90.125
D. 9.125
Question 69
Convert the following hexadecimal number to binary.C916
A. 101110012
B. 101110112
C. 100111002
D. 110010012
Question 70
Convert binary 1001 to hexadecimal.
A. 916
B. 1116
C. 10116
D. 1016
Question 71
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.
Question 72
Convert the following hexadecimal number to decimal.1CF16
A. 463
B. 4033
C. 479
D. 4049
Question 73
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
Question 74
Convert decimal 213 to binary.
A. 11001101
B. 11010101
C. 1111001
D. 11100011
Question 75
Convert binary 111111110010 to hexadecimal.
A. EE216
B. FF216
C. 2FE16
D. FD216
Question 76
The difference of 111 – 001 equals ________.
A. 100
B. 111
C. 1
D. 110
Question 77
Convert the following binary number to decimal. 100110102
A. 154
B. 155
C. 153
D. 157
Question 78
What is the result when a decimal 5238 is converted to base 16?
A. 327.375
B. 12166
C. 1388
D. 1476
Question 79
3 × 101 + 7 × 100 is equal to ________.
A. 3.7
B. 37
C. 10
D. 370
Question 80
Convert the following octal number to binary.768
A. 1101112
B. 1111102
C. 1111002
D. 1001112
Question 81
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
Question 82
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.
Question 83
The number of bits used to store a BCD digit is:
A. 8
B. 4
C. 1
D. 2
Question 84
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
Question 85
The binary number 101110101111010 can be written in octal as ________.
A. 515628
B. 565778
C. 656278
D. 565728
Question 86
One hex digit is sometimes referred to as a(n):
A. byte
B. nibble
C. grouping
D. instruction
Question 87
What is the result when a decimal 5238 is converted to base 16?
A. 327.375
B. 12.166
C. 1388
D. 1476
Question 88
Convert the following binary number to octal. 0011010112
A. 1538
B. 3518
C. 2538
D. 3528
Question 89
Convert the following decimal number to 8-bit binary.35
A. 100102
B. 100112
C. 1000112
D. 1000102
Question 90
How many binary digits are required to count to 10010?
A. 7
B. 2
C. 3
D. 100
Question 91
Convert hexadecimal C0B to binary.
A. 1.10E+11
B. 1.10E+11
C. 1.10E+11
D. 1.10E+11
Question 92
The 1's complement of 10011101 is ________.
A. 1100010
B. 10011110
C. 1100001
D. 1100011
Question 93
The binary number for octal 458 is ________.
A. 100010
B. 100101
C. 110101
D. 100100
Question 94
A decimal 11 in BCD is ________.
A. 1011
B. 1100
C. 10001
D. 10010
Question 95
Base 10 refers to which number system?
A. binary coded decimal
B. decimal
C. octal
D. hexadecimal
Question 96
A binary number's value changes most drastically when the ________ is changed.
A. MSB
B. frequency
C. LSB
D. duty cycle
Question 97
Convert 110010012 (binary) to decimal.
A. 201
B. 2001
C. 20
D. 210
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
Question 99
The BCD number for decimal 347 is ________.
A. 1100 1011 1000
B. 0011 0100 0111
C. 0011 0100 0001
D. 1100 1011 0110
Question 100
What is the decimal value of the hexadecimal number 777?
A. 191
B. 1911
C. 19
D. 19111
Question 101
Convert binary 11001111 to hexadecimal.
A. 8F16
B. CE16
C. DF16
D. CF16
Question 102
Convert the following BCD number to decimal.010101101001bcd
A. 539
B. 2551
C. 569
D. 1552
Question 103
Assign the proper even parity bit to the code 1100001.
A. 11100001
B. 1100001
C. 1100001
D. 1110101
Question 104
Convert the binary number 1001.00102 to decimal.
A. 90.125
B. 9.125
C. 125
D. 12.5
Question 105
Convert the following decimal number to hexadecimal.125
A. 7D16
B. D716
C. 7C16
D. C716
Question 106
The voltages in digital electronics are continuously variable.
A. TRUE
B. FALSE
Question 107
The binary number 11101011000111010 can be written in hexadecimal as ________.
A. DD63A16
B. 1D63A16
C. 1D33A16
D. 1D63116
Question 108
Convert the following decimal number to octal.39
A. 638
B. 368
C. 478
D. 748