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Home Digital Electronics Digital Arithmetic Operations and Circuits Comments

  • Question
  • Which of the following is correct for full adders?


  • Options
  • A. Full adders have the capability of directly adding decimal numbers.
  • B. Full adders are used to make half adders.
  • C. Full adders are limited to two inputs since there are only two binary digits.
  • D. In a parallel full adder, the first stage may be a half adder.

  • Correct Answer
  • In a parallel full adder, the first stage may be a half adder. 


  • Digital Arithmetic Operations and Circuits problems


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    • 1. The carry propagation delay in 4-bit full-adder circuits:

    • Options
    • A. is cumulative for each stage and limits the speed at which arithmetic operations are performed
    • B. is normally not a consideration because the delays are usually in the nanosecond range
    • 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
    • 2. Determine the two's-complement of each binary number.
      00110        00011        11101

    • Options
    • A. 11001    11100    00010
    • B. 00111    00010    00010
    • C. 00110    00011    11101
    • D. 11010    11101    00011
    • Discuss
    • 3. The range of positive numbers when using an eight-bit two's-complement system is:

    • Options
    • A. 0 to 64
    • B. 0 to 100
    • C. 0 to 127
    • D. 0 to 256
    • Discuss
    • 4. If [A] = 1011 1010, [B] = 0011 0110, and [C] = [A] ? [B], what is [C 4..2] in decimal?

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 5. The BCD addition of 910 and 710 will give initial code groups of 1001 + 0111. Addition of these groups generates a carry to the next higher position. The correct solution to this problem would be to:

    • Options
    • A. ignore the lowest order code group because 0000 is a valid code group and prefix the carry with three zeros
    • B. add 0110 to both code groups to validate the carry from the lowest order code group
    • C. disregard the carry and add 0110 to the lowest order code group
    • D. add 0110 to the lowest order code group because a carry was generated and then prefix the carry with three zeros
    • Discuss
    • 6. Convert each of the decimal numbers to 8-bit two's-complement form and then perform subtraction by taking the two's-complement and adding.


    • Options
    • A. 0001  0011
    • B. 0000  1110
    • C. 0010  1110
    • D. 1110  0000
    • Discuss
    • 7. Add the following hex numbers: 011016 + 1001016

    • Options
    • A. 1012016
    • B. 1002016
    • C. 1112016
    • D. 0012016
    • Discuss
    • 8. The binary subtraction 0 ? 0 =

    • Options
    • A. difference = 0
      borrow = 0
    • B. difference = 1
      borrow = 0
    • C. difference = 1
      borrow = 1
    • D. difference = 0
      borrow = 1
    • Discuss
    • 9. How many inputs must a full-adder have?

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss
    • 10. The summing outputs of a half- or full-adder are designated by which Greek symbol?

    • Options
    • A. omega
    • B. theta
    • C. lambda
    • D. sigma
    • Discuss


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