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  • Question
  • 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

  • Correct Answer
  • including a sign bit along with the magnitude bits 


  • Arithmetic Operations and Circuits problems


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    • 1. 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
    • 2. 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
    • 3. 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
    • 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 2's complement of 1101102 is _________.

    • Options
    • A. 1101002
    • B. 1010102
    • C. 0010112
    • D. 0010102
    • Discuss
    • 6. 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
    • 7. 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
    • 8. The 1's complement of 1010102 is _________.

    • Options
    • A. 0101102
    • B. 0101012
    • C. 1101112
    • D. 1010112
    • Discuss
    • 9. The bits of a number that tell how large the number is are called ____________________.

    • Options
    • A. carry bits
    • B. magnitude bits
    • C. sign bits
    • D. most significant bits
    • Discuss
    • 10. Incorrect codes are a form of output error for a digital-to-analog converter (DAC).

    • Options
    • A. True
    • B. False
    • Discuss


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