Number Systems and Codes Questions and Answers

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Number Systems and Codes Questions with Answers form the foundation of digital electronics reasoning and aptitude exams. This topic includes binary, octal, decimal, and hexadecimal number conversions, along with coding systems like Gray, ASCII, and BCD. Competitive exams such as GATE, DRDO, and ISRO often test candidates’ logical understanding of number representation and digital computation. Practicing reasoning questions and answers with step-by-step solutions builds numerical reasoning and circuit analysis confidence. Each question is structured to test clarity on base conversions, weighted codes, and arithmetic operations. With these aptitude-based questions, you can easily master the numerical logic behind digital systems. Download the PDF and start your reasoning test practice online today.

Number Systems and Codes

Showing 10 of 146 questions

91. Convert 52716 to binary.

  • 343
  • 001101000111
  • 010100100111
  • 011100100101
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92. Convert 5278 to binary.

  • 011100111
  • 101010111
  • 343
  • 111010101
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93. The base of the hexadecimal system is:

  • eight.
  • sixteen.
  • ten
  • two.
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94. Assign the proper even parity bit to the code 1100001.

  • 11100001
  • 1100001
  • 01100001
  • 01110101
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95. Select one of the following statements that best describes the parity method of error detection.

  • Parity checking is best suited for detecting single-bit errors in transmitted codes.
  • Parity checking is not suitable for detecting single-bit errors in transmitted codes.
  • Parity checking is capable of detecting and correcting errors in transmitted codes.
  • 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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96. Which of the following is the primary advantage of using the BCD code instead of straight binary coding?

  • Fewer bits are required to represent a decimal number with the BCD code.
  • The relative ease of converting to and from decimal.
  • BCD codes are easily converted to hexadecimal codes.
  • BCD codes are easily converted to straight binary codes.
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97. How many BCD code bits and how many straight binary bits would be required to represent the decimal number 643?

  • 12 BCD, 12 binary
  • 12 BCD, 10 binary
  • 12 BCD, 9 binary
  • 16 BCD, 9 binary
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98. When using the repeated division by 2 method of converting from decimal to binary, one must write the first remainder as the:

  • MSB
  • MSB, provided the following sequence of remainders are written in descending order until the final remainder is achieved.
  • LSB
  • LSB, provided the final remainder is used to replace the original LSB, which is then moved to the MSB position.
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99. In ASCII code, the hexadecimal sequence 53 54 55 44 45 4E 54 decodes to STUDENT.

  • TRUE
  • FALSE
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100. A decimal number is converted to BCD by replacing each decimal digit with the appropriate 3-bit binary code.

  • TRUE
  • FALSE
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