Digital Electronics-Digital Arithmetic Operations and Circuits

Digital Electronics-Digital Arithmetic Operations and Circuits
11. Adding in binary, a decimal 26 + 27 will produce a sum of:
  • 111010
  • 110110
  • 110101
  • 101011
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12. Convert each of the following signed binary numbers (two's-complement) to a signed decimal number.
00000101        11111100        11111000
  • –5 +4 +8
  • +5 –4 –8
  • –5 +252 +248
  • +5 –252 –248
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13. How many basic binary subtraction operations are possible?
  • 4
  • 3
  • 2
  • 1
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14. If [A] = 1011 1010, [B] = 0011 0110, and [C] = [A] • [B], what is [C 4..2] in decimal?
  • 1
  • 2
  • 3
  • 4
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15. Using 4-bit adders to create a 1See Section 6-bit adder:
  • requires 16 adders.
  • requires 4 adders.
  • requires the carry-out of the less significant adder to be connected to the carry-in of the next significant adder.
  • requires 4 adders and the connection of the carry out of the less significant adder to the carry-in of the next significant adder.
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16. When performing subtraction by addition in the 2's-complement system:
  • the minuend and the subtrahend are both changed to the 2's-complement.
  • the minuend is changed to 2's-complement and the subtrahend is left in its original form.
  • the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
  • the minuend and subtrahend are both left in their original form.
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17. 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.
  • –14 and –13, –27
  • –113 and –114, 227
  • –27 and –13, 40
  • –11 and –16, –27
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18. When 1100010 is divided by 0101, what is the decimal remainder?
  • 2
  • 3
  • 4
  • 6
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19. One way to make a four-bit adder perform subtraction is by:
  • inverting the output.
  • inverting the carry-in.
  • inverting the B inputs.
  • grounding the B inputs.
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20. What is the most important operation in binary-coded decimal (BCD) arithmetic?
  • addition
  • subtraction
  • multiplication
  • division
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