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  • Question
  • The most commonly used system for representing signed binary numbers is the:


  • Options
  • A. 2's-complement system.
  • B. 1's-complement system.
  • C. 10's-complement system.
  • D. sign-magnitude system.

  • Correct Answer
  • 2's-complement system. 


  • Digital Arithmetic Operations and Circuits problems


    Search Results


    • 1. What is the major difference between half-adders and full-adders?

    • Options
    • A. Nothing basically; full-adders are made up of two half-adders.
    • B. Full adders can handle double-digit numbers.
    • C. Full adders have a carry input capability.
    • D. Half adders can handle only single-digit numbers.
    • Discuss
    • 2. How many inputs must a full-adder have?

    • Options
    • A. 4
    • B. 2
    • C. 5
    • D. 3
    • Discuss
    • 3. Convert each of the decimal numbers to two's-complement form and perform the addition in binary.

      +13   ?10
      add ?7   add +15

    • Options
    • A. 0001  0100    0000  0101
    • B. 0000  0110    0001  1001
    • C. 0000  0110    0000  0101
    • D. 1111  0110    1111  0101
    • Discuss
    • 4. The decimal value for E16 is:

    • Options
    • A. 1210
    • B. 1310
    • C. 1410
    • D. 1510
    • Discuss
    • 5. Half-adders can be combined to form a full-adder with no additional gates.

    • Options
    • A. True
    • B. False
    • Discuss
    • 6. When performing subtraction by addition in the 2's-complement system:

    • Options
    • A. the minuend and the subtrahend are both changed to the 2's-complement.
    • B. the minuend is changed to 2's-complement and the subtrahend is left in its original form.
    • C. the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
    • D. the minuend and subtrahend are both left in their original form.
    • Discuss
    • 7. A full-adder adds ________.

    • Options
    • A. two single bits and one carry bit
    • B. two 2-bit binary numbers
    • C. two 4-bit binary numbers
    • D. two 2-bit numbers and one carry bit
    • Discuss
    • 8. Add the following hexadecimal numbers.

      3C   14   3B
      +25   +28   +DC

    • Options
    • A. 60    3C    116
    • B. 62    3C    118
    • C. 61    3C    117
    • D. 61    3D    117
    • Discuss
    • 9. Multiply the following binary numbers.

      1010   1011   1001
      ×0011   ×0111   ×1010

    • Options
    • A. 0001  1110    0100  1101    0101  1011
    • B. 0001  1110    0100  1100    0101  1010
    • C. 0001  1110    0100  1101    0101  1010
    • D. 0001  1101    0100  1101    0101  1010
    • Discuss
    • 10. Convert the decimal numbers 275 and 965 to binary-coded decimal (BCD) and add. Select the BCD code groups that reflect the final answer.

    • Options
    • A. 1101 1110 1010
    • B. 1110 1010 1110
    • C. 0001 0010 0100 0000
    • D. 0010 0011 0100 0000
    • Discuss


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