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Arithmetic Operations and Circuits problems


  • 1. Use the two's complement system to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

  • Options
  • A. ?14 and ?13; ?27
  • B. ?113 and ?114; 227
  • C. ?27 and ?13; 40
  • D. ?11 and ?16; ?27
  • Discuss
  • 2. Adding the two's complement of ?11 + (?2) will yield which two's complement answer?

  • Options
  • A. 1110 1101
  • B. 1111 1001
  • C. 1111 0011
  • D. 1110 1001
  • Discuss
  • 3. The fast carry or look-ahead carry circuits found in most 4-bit parallel-adder circuits:

  • Options
  • A. increase ripple delay
  • B. add a 1 to complemented inputs
  • C. reduce propagation delay
  • D. determine sign and magnitude
  • Discuss
  • 4. Adding in binary, the decimal values 26 + 27 will produce a sum of:

  • Options
  • A. 111010
  • B. 110110
  • C. 110101
  • D. 101011
  • Discuss
  • 5. 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.

  • Options
  • A. ?14 and ?13; ?27
  • B. ?113 and ?114; 227
  • C. ?27 and ?13; 40
  • D. ?11 and ?16; ?27
  • Discuss
  • 6. When 1100010 is divided by 0101, what will be the decimal remainder?

  • Options
  • A. 2
  • B. 3
  • C. 4
  • D. 6
  • Discuss
  • 7. The selector inputs to an arithmetic-logic unit (ALU) determine the:

  • Options
  • A. selection of the IC
  • B. arithmetic or logic function
  • C. data word selection
  • D. clock frequency to be used
  • Discuss
  • 8. Binary subtraction of a decimal 15 from 43 will utilize which two's complement?

  • Options
  • A. 101011
  • B. 110000
  • C. 011100
  • D. 110001
  • Discuss
  • 9. What are the two types of basic adder circuits?

  • Options
  • A. half adder and full adder
  • B. half adder and parallel adder
  • C. asynchronous and synchronous
  • D. one's complement and two's complement
  • Discuss
  • 10. When multiplying in binary the decimal values 13 × 11, what is the third partial product?

  • Options
  • A. 100000
  • B. 100001
  • C. 0000
  • D. 1011
  • Discuss

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