Consider the division of a dividend X = 0100000 and a divisor D = 0110. Then the quotient (Q) and the remainder (R) respectively are

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UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
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  1. 0101 and 0010
  2. 0110 and 0011
  3. 1010 and 1011
  4. 1100 and 0010

Answer (Detailed Solution Below)

Option 1 : 0101 and 0010
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The correct option is 1

Given: 
Dividend X = 0100000 
The decimal equivalent of binary X = (0100000)2 = (32)10
Again we have divisor D = 0110
The decimal equivalent is given by (0110)2 = (6)10
When we divide 32 by 6 the quotient will be 5 while the remainder will be 2
So the equivalent of quotient and remainder in the decimal form will be 0101 and 0010

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