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

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1. For a 4-bit parallel adder, if the carry-in is connected to a logical HIGH, the result is:

  • the same as if the carry-in is tied LOW since the least significant carry-in is ignored.
  • that carry-out will always be HIGH.
  • a one will be added to the final result.
  • the carry-out is ignored.
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2. What is the first thing you will need if you are going to use a macrofunction?

  • A complicated design project
  • An experienced design engineer
  • Good documentation
  • Experience in HDL
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3. Solving –11 + (–2) will yield which two's-complement answer?

  • 1110 1101
  • 1111 1001
  • 1111 0011
  • 1110 1001
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4. Solve this BCD problem: 0100 + 0110 =

  • 00010000BCD
  • 00010111BCD
  • 00001011BCD
  • 00010011BCD
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5. What are constants in VHDL code?

  • Fixed numbers represented by a name
  • Fixed variables used in functions
  • Fixed number types
  • Constants do not exist in VHDL code.
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6. The most commonly used system for representing signed binary numbers is the:

  • 2's-complement system.
  • 1's-complement system.
  • 10's-complement system.
  • sign-magnitude system.
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7. What is the major difference between half-adders and full-adders?

  • Nothing basically; full-adders are made up of two half-adders.
  • Full adders can handle double-digit numbers.
  • Full adders have a carry input capability.
  • Half adders can handle only single-digit numbers.
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8. The decimal value for E16 is:

  • 1210
  • 1310
  • 1410
  • 1510
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9. Fast-look-ahead carry circuits found in most 4-bit full-adder circuits:

  • determine sign and magnitude
  • reduce propagation delay
  • add a 1 to complemented inputs
  • increase ripple delay
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10. The binary subtraction 0 – 0 =

  • difference = 0 borrow = 0
  • difference = 1 borrow = 0
  • difference = 1 borrow = 1
  • difference = 0 borrow = 1
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