Digital Arithmetic Operations and Circuits Questions and Answers

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Q11
Adding in binary, a decimal 26 + 27 will produce a sum of:
  • A 111010
  • B 110110
  • C 110101
  • D 101011
Answer: Option C
Q12
Convert each of the following signed binary numbers (two's-complement) to a signed decimal number. 00000101        11111100        11111000
  • A –5 +4 +8
  • B +5 –4 –8
  • C –5 +252 +248
  • D +5 –252 –248
Answer: Option B
Q13
How many basic binary subtraction operations are possible?
  • A 4
  • B 3
  • C 2
  • D 1
Answer: Option A
Q14
If [A] = 1011 1010, [B] = 0011 0110, and [C] = [A] • [B], what is [C 4..2] in decimal?
  • A 1
  • B 2
  • C 3
  • D 4
Answer: Option D
Q15
Using 4-bit adders to create a 1See Section 6-bit adder:
  • A requires 16 adders.
  • B requires 4 adders.
  • C requires the carry-out of the less significant adder to be connected to the carry-in of the next significant adder.
  • D requires 4 adders and the connection of the carry out of the less significant adder to the carry-in of the next significant adder.
Answer: Option D
Q16
When performing subtraction by addition in the 2's-complement system:
  • 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.
Answer: Option C
Q17
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.
  • A –14 and –13, –27
  • B –113 and –114, 227
  • C –27 and –13, 40
  • D –11 and –16, –27
Answer: Option A
Q18
When 1100010 is divided by 0101, what is the decimal remainder?
  • A 2
  • B 3
  • C 4
  • D 6
Answer: Option B
Q19
One way to make a four-bit adder perform subtraction is by:
  • A inverting the output.
  • B inverting the carry-in.
  • C inverting the B inputs.
  • D grounding the B inputs.
Answer: Option C
Q20
What is the most important operation in binary-coded decimal (BCD) arithmetic?
  • A addition
  • B subtraction
  • C multiplication
  • D division
Answer: Option A

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