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On dividing (101011)2 by (11)2 the quotient and remainder respectively are:

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On dividing (101011)2 by (11)2 the quotient and remainder respectively are:
1. (1110)2 and (1)2
2. (1101)2 and (0)2
3. (1110)2 and (0)2
4. (1011)2 and (1)2
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1 Answer

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Correct Answer - Option 1 : (1110)2 and (1)2

(101011)2 = 1 × 25 + 0 × 24 + 1 × 23 +  0 × 22 + 1 × 21 + 1 × 20 =(43)10

(11)2 =1 × 21 + 1 × 20 =(3)10

Performing division 43 by 3

3 43 1
  14  

(14)10 = (1110)2 (quotient)

(1)10 = (1)2  (reminder)

Therefore Option 1 is correct

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