Digital Arithmetic Operations and Circuits Questions and Answers

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Digital Arithmetic Operations and Circuits play an essential role in programming questions and answers related to computer architecture and electronics. This topic covers binary addition, subtraction, multiplication, division, and their implementation using combinational circuits like adders and multiplexers. Understanding these fundamentals helps candidates prepare for GATE, ISRO, and DRDO exams where logic design questions are common. Practicing digital electronics MCQs and circuit-based problems improves analytical skills and strengthens the foundation for embedded and VLSI design interviews.

Digital Arithmetic Operations and Circuits

Showing 10 of 92 questions

11. Adding in binary, a decimal 26 + 27 will produce a sum of:

  • 111010
  • 110110
  • 110101
  • 101011
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12. Convert each of the following signed binary numbers (two's-complement) to a signed decimal number. 00000101        11111100        11111000

  • –5 +4 +8
  • +5 –4 –8
  • –5 +252 +248
  • +5 –252 –248
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13. How many basic binary subtraction operations are possible?

  • 4
  • 3
  • 2
  • 1
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14. If [A] = 1011 1010, [B] = 0011 0110, and [C] = [A] • [B], what is [C 4..2] in decimal?

  • 1
  • 2
  • 3
  • 4
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15. Using 4-bit adders to create a 1See Section 6-bit adder:

  • requires 16 adders.
  • requires 4 adders.
  • requires the carry-out of the less significant adder to be connected to the carry-in of the next significant adder.
  • requires 4 adders and the connection of the carry out of the less significant adder to the carry-in of the next significant adder.
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16. When performing subtraction by addition in the 2's-complement system:

  • the minuend and the subtrahend are both changed to the 2's-complement.
  • the minuend is changed to 2's-complement and the subtrahend is left in its original form.
  • the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
  • the minuend and subtrahend are both left in their original form.
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17. The two's-complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

  • –14 and –13, –27
  • –113 and –114, 227
  • –27 and –13, 40
  • –11 and –16, –27
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18. When 1100010 is divided by 0101, what is the decimal remainder?

  • 2
  • 3
  • 4
  • 6
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19. One way to make a four-bit adder perform subtraction is by:

  • inverting the output.
  • inverting the carry-in.
  • inverting the B inputs.
  • grounding the B inputs.
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20. What is the most important operation in binary-coded decimal (BCD) arithmetic?

  • addition
  • subtraction
  • multiplication
  • division
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