The number 251 in decimal system is expressed in binary system by:

  1. 11110111
  2. 11111011
  3. 11111101
  4. 11111110

Answer (Detailed Solution Below)

Option 2 : 11111011
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Detailed Solution

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Concept:

Convert decimal to binary

Conversion steps:

  • Divide the number by 2.
  • Get the integer quotient for the next iteration.
  • Get the remainder for the binary digit.
  • Repeat the steps until the quotient is equal to 0.


Calculation:

Converting 251 to the binary system, we get

2

251

 

2

125

1

2

62

1

2

31

0

2

15

1

2

7

1

2

3

1

2

1

1

2

0

1

 

Thus (251)10 = (11111011)2

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