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

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HTET PGT Official Computer Science Paper - 2018
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  1. (1110)2 and (1)2
  2. (1101)2 and (0)2
  3. (1110)2 and (0)2
  4. (1011)2 and (1)2

Answer (Detailed Solution Below)

Option 1 : (1110)2 and (1)2
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Detailed Solution

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

(11)=1 × 2+ 1 × 2=(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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