Number Systems and Codes in Digital Logic Design MCQs

Number Systems and Codes in Digital Logic Design MCQs

 Q1. Convert hexadecimal value 16 to decimal.. 

A. 22(10). 

B. 16(10). 

C. 10(10). 

D. 20(10). 

Answer= 22(10)


Q2. Convert the following decimal number to 8-bit binary : 187. 

A. 10111011(2). 

B. 11011101(2). 

C. 10111101(2). 

D. 10111100(2). 

Answer= 10111011(2)


Q3. Convert binary 111111110010 to hexadecimal.. 

A. EE2(16). 

B. FF2(16). 

C. 2FE(16). 

D. FD2(16). 

Answer= FF2(16)


Q4. Convert the following binary number to decimal : 010112. 

A. 11. 

B. 35. 

C. 15. 

D. 10. 

Answer= 11


Q5. Convert the binary number 1001.00102 to decimal.. 

A. 90.125. 

B. 9.125. 

C. 125. 

D. 12.5. 

Answer= 9.125


Q6. One hex digit is sometimes referred to as a(n):. 

A. Byte. 

B. Nibble. 

C. Grouping. 

D. Instruction. 

Answer= Nibble


Q7. Which of the following is the most widely used alphanumeric code for computer input and output?. 

A. Gray. 

B. ASCII. 

C. Parity. 

D. EBCDIC. 

Answer= ASCII


Q8. 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. 

Answer= 1 MB


Q9. Convert 59.72(10) to BCD.. 

A. 111011. 

B. 1011001.011. 

C. 1110.11. 

D. 010110010111001 0. 

Answer= 1011001.011


Q10. Convert 8B3F(16) to binary.. 

A. 35647. 

B. 11010. 

C. 101100111110001 1. 

D. 100010110011111 1. 

Answer= 100010110011111 1


Q11. Which is typically the longest: bit, byte, nibble, word?. 

A. Bit. 

B. Byte. 

C. Nibble. 

D. Word. 

Answer= Word


Q12. Assign the proper odd parity bit to the code 111001.. 

A. 1111011. 

B. 1111001. 

C. 111111. 

D. 11111. 

Answer= 1111001


Q13. Convert decimal 64 to binary.. 

A. 0 1010010. 

B. 0 1000000. 

C. 0 0 110110. 

D. 0 1001000. 

Answer= 0 1000000


Q14. Convert the following octal number to decimal : 17(8). 

A. 51. 

B. 82. 

C. 57. 

D. 15. 

Answer= 15


Q15. Convert the following binary number to octal : 010111100(2). 

A. 172(8). 

B. 272(8). 

C. 174(8). 

D. 274(8). 

Answer= 274(8)


Q16. How many binary digits are required to count to 100(10)?. 

A. 7. 

B. 2. 

C. 3. 

D. 100. 

Answer= 7


Q17. The BCD number for decimal 347 is ________.. 

A. 1100 1011 1000. 

B. 0011 0100 0111. 

C. 0011 0100 0001. 

D. 1100 1011 0110. 

Answer= 0011 0100 0111


Q18. The binary number for octal 45(8) is ________.. 

A. 100010. 

B. 100101. 

C. 110101. 

D. 100100. 

Answer= 100101


Q19. The sum of 11101 + 10111 equals ________.. 

A. 110011. 

B. 100001. 

C. 110100. 

D. 100100. 

Answer= 110100


Q20. Convert the following binary number to decimal : 10011010(2). 

A. 154. 

B. 155. 

C. 153. 

D. 157. 

Answer= 154


Q21. The decimal number 188 is equal to the binary number ________.. 

A. 10111100. 

B. 111000. 

C. 1100011. 

D. 1111000. 

Answer= 10111100


Q22. Convert the following binary number to octal : 001101011(2). 

A. 153(8). 

B. 351(8). 

C. 253(8). 

D. 352(8). 

Answer= 153(8)


Q23. A binary number's value changes most drastically when the ________ is changed.. 

A. MSB. 

B. FreQncy. 

C. LSB. 

D. Duty cycle. 

Answer= MSB


Q24. Convert decimal 213 to binary.. 

A. 11001101. 

B. 11010101. 

C. 1111001. 

D. 11100011. 

Answer= 11010101


Q25. The decimal number for octal 74(8) is ________.. 

A. 74. 

B. 60. 

C. 22. 

D. 62. 

Answer= 60


Q26. The sum of the two BCD numbers, 0011 + 0011, is ________.. 

A. 110 0. 

B. 0 111. 

C. 00 11. 

D. 1100. 

Answer= 110 0


Q27. Convert binary 01001110 to decimal.. 

A. 4E. 

B. 78. 

C. 76. 

D. 116. 

Answer= 78


Q28. Which is not a word size?. 

A. 64. 

B. 28. 

C. 16. 

D. 8. 

Answer= 28


Q29. The binary number 1110 is equal to the decimal number ________.. 

A. 3. 

B. 1. 

C. 7. 

D. 14. 

Answer= 14


Q30. Convert the following octal number to binary : 76(8). 

A. 110111(2). 

B. 111110(2). 

C. 111100(2). 

D. 100111(2). 

Answer= 111110(2)


Q31. Convert 1100101000110101(2) to hexadecimal.. 

A. 121035. 

B. CA35. 

C. 53AC1. 

D. 530121. 

Answer= CA35


Q32. Convert the following decimal number to octal : 281. 

A. 134(8). 

B. 431(8). 

C. 331(8). 

D. 133(8). 

Answer= 431(8)


Q33. 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. 

Answer= Before the MSB


Q34. Convert the following octal number to decimal : 35(8). 

A. 71. 

B. 17. 

C. 92. 

D. 29. 

Answer= 29


Q35. Convert binary 11001111 to hexadecimal.. 

A. 8F(16). 

B. CE(16). 

C. DF(16). 

D. CF(16). 

Answer= CF(16)


Q36. Convert 1731(8) to decimal.. 

A. 216.4. 

B. 985. 

C. 3D9. 

D. 1123. 

Answer= 985


Q37. 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. 

Answer= Infinite


Q38. 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. 

Answer= 10 through 15


Q39. Convert the following decimal number to 8-bit binary : 35. 

A. 000 100102. 

B. 000 100112. 

C. 00 1000112. 

D. 00 1000102. 

Answer= 00 1000112


Q40. Convert the following hexadecimal number to binary : C9(16). 

A. 10111001(2). 

B. 10111011(2). 

C. 10011100(2). 

D. 11001001(2). 

Answer= 11001001(2)


Q41. Convert the following decimal number to hexadecimal : 125. 

A. 7D(16). 

B. D7(16). 

C. 7C(16). 

D. C7(16). 

Answer= 7D(16)


Q42. A decimal 11 in BCD is ________.. 

A. 0000 1011. 

B. 0000 1100. 

C. 000 10001. 

D. 000 10010. 

Answer= 000 10001


Q43. What is the resultant binary of the decimal problem 49 + 01 = ?. 

A. 0 1010101. 

B. 00 110101. 

C. 00 110010. 

D. 00 110001. 

Answer= 00 110010


Q44. The difference of 111 - 001 equals ________.. 

A. 100. 

B. 111. 

C. 1. 

D. 110. 

Answer= 110


Q45. Convert the binary number 1100 to Gray code.. 

A. 00 11. 

B. 1010. 

C. 1100. 

D. 1001. 

Answer= 00 11


Q46. The binary number 11101011000111010 can be written in hexadecimal as ________.. 

A. DD63A16. 

B. 1D63A16. 

C. 1D33A16. 

D. 1D63116. 

Answer= 1D63A16


Q47. Which of the following is an invalid BCD code?. 

A. 00 11. 

B. 1101. 

C. 0 101. 

D. 1001. 

Answer= 1101


Q48. Convert the Gray code 1011 to binary.. 

A. 1011. 

B. 1010. 

C. 0 100. 

D. 1101. 

Answer= 1101


Q49. Determine the decimal equivalent of the signed binary number 11110100 in 1's complement.. 

A. 116. 

B. -12. 

C. 11. 

D. 128. 

Answer= 11


Q50. Convert the following decimal number to BCD : 127. 

A. 0 11100100001. 

B. 111010001. 

C. 00 1010111. 

D. 000 100100111. 

Answer= 000 100100111


Q51. Digital electronics is based on the ________ numbering system.. 

A. Decimal. 

B. Octal. 

C. Binary. 

D. Hexadecimal. 

Answer= Binary


Q52. An informational signal that makes use of binary digits is considered to be:. 

A. Solid state. 

B. Digital. 

C. Analog. 

D. Non-oscillating. 

Answer= Digital


Q53. The 1's complement of 10011101 is ________.. 

A. 0 1100010. 

B. 10011110. 

C. 0 1100001. 

D. 0 1100011. 

Answer= 0 1100010


Q54. The binary number 101110101111010 can be written in octal as ________.. 

A. 51562(8). 

B. 56577(8). 

C. 65627(8). 

D. 56572(8). 

Answer= 56572(8)


Q55. Convert 457(10) to hexadecimal.. 

A. 711. 

B. 2C7. 

C. 811. 

D. 1C9. 

Answer= 1C9


Q56. Convert the decimal number 151.75 to binary.. 

A. 10000111.11. 

B. 11010011.01. 

C. 00 111100. 

D. 10010111.11. 

Answer= 10010111.11


Q57. Convert the following octal number to binary : 104(8). 

A. 001000100(2). 

B. 100000001(2). 

C. 0010100(2). 

D. 1000001(2). 

Answer= 001000100(2)


Q58. 3428 is the decimal value for which of the following binary-coded decimal (BCD) groupings?. 

A. 1101000100100 0. 

B. 1101000010100 0. 

C. 01101001000001 0. 

D. 11010000110101 0. 

Answer= 1101000010100 0


Q59. 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. 

Answer= 4-bit binary code


Q60. The decimal number 18 is equal to the binary number ________.. 

A. 11110. 

B. 10001. 

C. 10010. 

D. 1111000. 

Answer= 10010


Q61. The 2's complement of 11100111 is ________.. 

A. 11100110. 

B. 000 11001. 

C. 000 11000. 

D. 000 11010. 

Answer= 000 11001


Q62. Convert the following decimal number to BCD : 469. 

A. 100101101 000. 

B. 010001101 001. 

C. 100001101 001. 

D. 100101100 100. 

Answer= 010001101 001


Q63. Express the decimal number -37 as an 8-bit number in sign-magnitude.. 

A. 10100101. 

B. 0 0100101. 

C. 11011000. 

D. 11010001. 

Answer= 10100101


Q64. Convert the following BCD number to decimal : 010101101001(bcd). 

A. 539. 

B. 2551. 

C. 569. 

D. 1552. 

Answer= 569


Q65. The binary number 11001110 is equal to the decimal number ________.. 

A. 12. 

B. 206. 

C. 127. 

D. 66. 

Answer= 206


Q66. The binary number for F3A(16) is ________.. 

A. 1 11100111010. 

B. 1 11100111110. 

C. 0 00000111010. 

D. 0 00011000100. 

Answer= 1 11100111010


Q67. Convert the following BCD number to decimal : 100000000011(bcd). 

A. 8003. 

B. 803. 

C. 1003. 

D. 103. 

Answer= 803


Q68. Convert the following hexadecimal number to binary: 14B(16). 

A. 101101000001(2). 

B. 000101001011(2). 

C. 000101001101(2). 

D. 110101000001(2). 

Answer= 000101001011(2)


Q69. What is the result when a decimal 5238 is converted to base 16?. 

A. 327.375. 

B. 12.166. 

C. 1388. 

D. 1476. 

Answer= 1476


Q70. The octal number for binary 1101110101110110 is ________.. 

A. 654521(8). 

B. 556561(8). 

C. 156656(8). 

D. 156566(8). 

Answer= 156566(8)


Q71. Convert the following hexadecimal number to decimal: 1CF(16). 

A. 463. 

B. 4033. 

C. 479. 

D. 4049. 

Answer= 463


Q72. Convert the binary number 1011010 to hexadecimal.. 

A. 5B. 

B. 5F. 

C. 5A. 

D. 5C. 

Answer= 5A


Q73. Convert the following decimal number to hexadecimal: 74. 

A. A4(16). 

B. B4(16). 

C. 4A(16). 

D. 4B(16). 

Answer= 4A(16)


Q74. Convert hexadecimal C0B to binary.. 

A. 1 10000001011. 

B. 1 10000001001. 

C. 1 10000001100. 

D. 1 10100001011. 

Answer= 1 10000001011


Q75. Convert binary 1001 to hexadecimal.. 

A. 9(16). 

B. 11(16). 

C. 101(16). 

D. 10(16). 

Answer= 9(16)


Q76. What is the decimal value of the hexadecimal number 777?. 

A. 191. 

B. 1911. 

C. 19. 

D. 19111. 

Answer= 1911


Q77. Convert 11001001(2) to decimal.. 

A. 201. 

B. 2001. 

C. 20. 

D. 210. 

Answer= 201


Q78. Convert the following decimal number to octal: 39. 

A. 63(8). 

B. 36(8). 

C. 47(8). 

D. 74(8). 

Answer= 47(8)


Q79. 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. 

Answer= 7


Q80. Convert the following hexadecimal number to decimal :  B5(16). 

A. 212. 

B. 197. 

C. 165. 

D. 181. 

Answer= 181


Q81. The BCD number for decimal 16 is ________.. 

A. 10110. 

B. 10000. 

C. 10010. 

D. 11100000. 

Answer= 10110


Q82. 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 128^10�in a straight binary format.. 

Answer= the alphabet upper- and lowercase letters, the decimal digits, the seven punctuation marks, and other characters or symbols.


Q83. The base of the hexadecimal system is:. 

A. eight.. 

B. sixteen.. 

C. ten.. 

D. two.. 

Answer= sixteen.


Q84. Assign the proper even parity bit to the code 1100001.. 

A. 11100001. 

B. 1100001. 

C. 1100001. 

D. 1110101. 

Answer= 11100001


Q85. 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. 

Answer= Parity checking is best suited for detecting single-bit errors in transmitted codes.


Q86. 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.. 

Answer= The relative ease of converting to and from decimal.


Q87. 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. 

Answer= 12 BCD, 10 binary


Q88. 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 seQnce 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.. 

Answer= MSB

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