Number Systems and Codes

Q1: Convert the following decimal number to BCD.
469

A 100101101000

B 010001101001

C 100001101001

D 100101100100

Q2: Determine the decimal equivalent of the signed binary number 11110100 in 1's complement.

A 116

B -12

C 11

D 128

Q3: 3428 is the decimal value for which of the following binary-coded decimal (BCD) groupings?

A 11010001001000

B 11010000101000

C 011010010000010

D 110100001101010

Q4: A decimal 11 in BCD is ________.

A 00001011

B 00001100

C 00010001

D 00010010

Q5: Convert 59.7210 to BCD.

A 111011

B 01011001.01110010

C 1110.11

D 0101100101110010

Q6: The sum of 11101 + 10111 equals ________.

A 110011

B 100001

C 110100

D 100100

Q7: Convert the following hexadecimal number to decimal.
1CF16

A 463

B 4033

C 479

D 4049

Q8: The binary number 11101011000111010 can be written in hexadecimal as ________.

A DD63A16

B 1D63A16

C 1D33A16

D 1D63116

Q9: The binary number for octal 458 is ________.

A 100010

B 100101

C 110101

D 100100

Q10: Convert hexadecimal value C1 to binary.

A 11000001

B 1000111

C 111000100

D 111000001

Q11: Convert hexadecimal value C1 to binary.

A 11000001

B 1000111

C 111000100

D 111000001

Q12: Convert the following BCD number to decimal.
100000000011bcd

A 8003

B 803

C 1003

D 103

Q13: The sum of the two BCD numbers, 0011 + 0011, is ________.

A 0110

B 0111

C 0011

D 1100

Q14: What decimal number does 25 represent?

A 10

B 31

C 25

D 32

Q15: Convert the following decimal number to 8-bit binary.
187

A 101110112

B 110111012

C 101111012

D 101111002

Q16: The octal numbering system:

A simplifies tasks

B groups binary numbers in groups of 4

C saves time

D simplifies tasks and saves time

Q17: The decimal number 188 is equal to the binary number ________.

A 10111100

B 0111000

C 1100011

D 1111000

Q18: 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

Q19: Convert the following hexadecimal number to binary.
14B16

A 1011010000012

B 0001010010112

C 0001010011012

D 1101010000012

Q20: Convert the following decimal number to BCD.
127

A 011100100001

B 111010001

C 001010111

D 000100100111

Q21: How many bits are in an ASCII character?

A 16

B 8

C 7

D 4

Q22: 3 × 101 + 7 × 100 is equal to ________.

A 3.7

B 37

C 10

D 370

Q23: Convert binary 11001111 to hexadecimal.

A 8F16

B CE16

C DF16

D CF16

Q24: 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

Q25: 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.

Q26: Convert hexadecimal value 16 to decimal.

A 2210

B 1610

C 1010

D 2010

Q27: Convert 11001010001101012 to hexadecimal.

A 121035

B CA35

C 53AC1

D 530121

Q28: Convert 17318 to decimal.

A 216.4

B 985

C 3D9

D 1123

Q29: The binary number for F3A16 is ________.

A 111100111010

B 111100111110

C 000000111010

D 000011000100

Q30: Convert the binary number 1001.00102 to decimal.

A 90.125

B 9.125

C 125

D 12.5

Q31: Convert the following decimal number to hexadecimal.
125

A 7D16

B D716

C 7C16

D C716

Q32: Convert 52716 to binary.

A 343

B 001101000111

C 010100100111

D 011100100101

Q33: Convert binary 111111110010 to hexadecimal.

A EE216

B FF216

C 2FE16

D FD216

Q34: 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.

Q35: Convert the following octal number to binary.
768

A 1101112

B 1111102

C 1111002

D 1001112

Q36: The base of the hexadecimal system is:

A eight

B sixteen.

C ten

D two.

Q37: Convert the following octal number to decimal.
358

A 71

B 17

C 92

D 29

Q38: Convert the following binary number to octal.
0101111002

A 1728

B 2728

C 1748

D 2748

Q39: Convert 110010012 (binary) to decimal.

A 201

B 2001

C 20

D 210

Q40: Convert the binary number 1100 to Gray code.

A 0011

B 1010

C 1100

D 1001

Q41: Convert the following decimal number to octal.
39

A 638

B 368

C 478

D 748

Q42: The 1's complement of 10011101 is ________.

A 01100010

B 10011110

C 01100001

D 01100011

Q43: Convert the following hexadecimal number to decimal.
B516

A 212

B 197

C 165

D 181

Q44: Convert the following hexadecimal number to binary.
C916

A 101110012

B 101110112

C 100111002

D 110010012

Q45: The binary number 11001110 is equal to the decimal number ________.

A 12

B 206

C 127

D 66

Q46: 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.

Q47: Express the decimal number –37 as an 8-bit number in sign-magnitude.

A 10100101

B 00100101

C 11011000

D 11010001

Q48: Assign the proper odd parity bit to the code 111001.

A 1111011

B 1111001

C 0111111

D 0011111

Q49: Convert binary 1001 to hexadecimal.

A 916

B 1116

C 10116

Q50: An informational signal that makes use of binary digits is considered to be:

A solid state

B digital

C analog

D non-oscillating

Q51: 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

Q52: The BCD number for decimal 347 is ________.

A 1100 1011 1000

B 0011 0100 0111

C 0011 0100 0001

D 1100 1011 0110

Q53: Convert the following binary number to decimal.
100110102

A 154

B 155

C 153

D 157

Q54: The decimal number 18 is equal to the binary number ________.

A 11110

B 10001

C 10010

D 1111000

Q55: The binary number 101110101111010 can be written in octal as ________.

A 515628

B 565778

C 656278

D 565728

Q56: 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

Q57: Convert the following BCD number to decimal.
010101101001bcd

A 539

B 2551

C 569

D 1552

Q58: Convert hexadecimal C0B to binary.

A 110000001011

B 110000001001

C 110000001100

D 110100001011

Q59: Convert the following binary number to octal.
0011010112

A 1538

B 3518

C 2538

D 3528

Q60: Convert 45710 to hexadecimal.

A 711

B 2C7

C 811

D 1C9

Q61: Convert the following decimal number to hexadecimal.
74

A A416

B B416

C 4A16

D 4B16

Q62: Convert the decimal number 151.75 to binary.

A 10000111.11

B 11010011.01

C 00111100.00

D 10010111.11

Q63: Convert the following decimal number to 8-bit binary.
35

A 000100102

B 000100112

C 001000112

D 001000102

Q64: Convert the following decimal number to octal.
281

A 1348

B 4318

C 3318

D 1338

Q65: Which of the following is an invalid BCD code?

A 0011

B 1101

C 0101

D 1001

Q66: The binary number 1110 is equal to the decimal number ________.

A 3

B 1

C 7

D 14

Q67: Convert 8B3F16 to binary.

A 35647

B 011010

C 1011001111100011

D 1000101100111111

Q68: 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

Q69: 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

Q70: Convert the Gray code 1011 to binary.

A 1011

B 1010

C 0100

D 1101

Q71: Convert 5278 to binary.

A 011100111

B 101010111

C 343

D 111010101

Q72: 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

Q73: The 2's complement of 11100111 is ________.

A 11100110

B 00011001

C 00011000

D 00011010

Q74: Convert the following octal number to decimal.
178

A 51

B 82

C 57

D 15

Q75: The BCD number for decimal 16 is ________.

A 00010110

B 00010000

C 00010010

D 11100000

Q76: Which is typically the longest: bit, byte, nibble, word?

A Bit

B Byte

C Nibble

D Word

Q77: A binary number's value changes most drastically when the ________ is changed.

A MSB

B frequency

C LSB

D duty cycle

Q78: 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.

Q79: One hex digit is sometimes referred to as a(n):

A byte

B nibble

C grouping

D instruction

Q80: The difference of 111 – 001 equals ________.

A 100

B 111

C 001

D 110

Q81: What is the decimal value of the hexadecimal number 777?

A 191

B 1911

C 19

D 19111

Q82: Convert the following binary number to decimal.
010112

A 11

B 35

C 15

D 10

Q83: What is the result when a decimal 5238 is converted to base 16?

A 327.375

B 12.166

C 1388

D 1476

Q84: Digital electronics is based on the ________ numbering system.

A decimal

B octal

C binary

D hexadecimal

Q85: The voltages in digital electronics are continuously variable.

A True

B False

Q86: Convert binary 01001110 to decimal.

A 4E

B 78

C 76

D 116

Q87: Which of the following is the most widely used alphanumeric code for computer input and output?

A Gray

B ASCII

C Parity

D EBCDIC

Q88: Which is not a word size?

A 64

B 28

C 16

D 8

Q89: How many binary digits are required to count to 10010?

A 7

B 2

C 3

D 100

Q90: Convert decimal 213 to binary.

A 11001101

B 11010101

C 01111001

D 11100011

Q91:
Decode the following ASCII message.
10100111010100101010110001001011001
01000001001000100000110100101000100

A STUDYHARD

B STUDY HARD

C stydyhard

D study hard

Q92: Convert decimal 64 to binary.

A 01010010

B 01000000

C 00110110

D 01001000

Q93: The decimal number for octal 748 is ________.

A 74

B 60

C 22

D 62

Q94: Assign the proper even parity bit to the code 1100001.

A 11100001

B 1100001

C 01100001

D 01110101

Q95: The octal number for binary 1101110101110110 is ________.

A 6545218

B 5565618

C 1566568

D 1565668

Q96: What is the resultant binary of the decimal problem 49 + 01 = ?

A 01010101

B 00110101

C 00110010

D 00110001

Q97: 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.

Q98: Convert 73116 to decimal.

A 216.4

B 985

C 3D9

D 1841

Q99: Convert the following octal number to binary.
1048

A 0010001002

B 1000000012

C 00101002

D 10000012

Q100: Convert the binary number 1011010 to hexadecimal.

A 5B

B 5F

C 5A

D 5C


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