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Arithmetic Operations and Circuits problems


  • 1. The operands in a subtraction operation are the subend and the minuend.

  • Options
  • A. True
  • B. False
  • Discuss
  • 2. The operands in an addition operation consist of the augend and the addend.

  • Options
  • A. True
  • B. False
  • Discuss
  • 3. The 2's complement of 1101102 is _________.

  • Options
  • A. 1101002
  • B. 1010102
  • C. 0010112
  • D. 0010102
  • Discuss
  • 4. A full adder adds ____.

  • Options
  • A. two 2-bit binary numbers
  • B. two 4-bit binary numbers
  • C. two single bits and one carry bit
  • D. two 2-bit numbers and one carry bit
  • Discuss
  • 5. The carry propagation delay in 4-bit full-adder circuits ____________.

  • Options
  • A. is normally not a consideration because the delays are usually in the nanosecond range
  • B. is cumulative for each stage and limits the speed at which arithmetic operations are performed
  • C. decreases in direct ratio to the total number of full-adder stages
  • D. increases in direct ratio to the total number of full-adder stages, but is not a factor in limiting the speed of arithmetic operations
  • Discuss
  • 6. All digital systems that perform arithmetic operations must indicate _______ and ________ for numbers.

  • Options
  • A. size, base
  • B. sign, magnitude
  • C. sign, base
  • D. magnitude, base
  • Discuss
  • 7. An input to the mode pin of an arithmetic-logic unit (ALU) determines if the function will be _________.

  • Options
  • A. one's complemented
  • B. positive or negative
  • C. with or without carry
  • D. arithmetic or logic
  • Discuss
  • 8. In binary number systems the sign of a number is indicated by _________.

  • Options
  • A. using a 0 (zero) bit in front of negative numbers
  • B. inverting the bits if the number is negative
  • C. including a sign bit along with the magnitude bits
  • D. placing a negative sign in front of the number
  • Discuss
  • 9. Two 4-bit adders could be cascaded to form a(n) ___________.

  • Options
  • A. 16-bit parallel-adder circuit
  • B. 8-bit parallel-adder circuit
  • C. full-adder circuit
  • D. arithmetic-logic unit
  • Discuss
  • 10. One advantage of using the 2's complement system to represent signed numbers is that you ___________.

  • Options
  • A. can perform subtraction by performing addition
  • B. can perform addition by performing subtraction
  • C. can perform division through repeated subtraction
  • D. none of the above
  • Discuss

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