The binary number expression of the decimal number 31 is

This question was previously asked in
NDA (Held On: 22 April 2018) Maths Previous Year paper
View all NDA Papers >
  1. 1111
  2. 10111
  3. 11011
  4. 11111

Answer (Detailed Solution Below)

Option 4 : 11111
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Detailed Solution

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Concepts:

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:

Convert 3110 to binary

Division by 2

Quotient

Remainder

31/2

15

1

15/2

7

1

7/2

3

1

3/2

1

1

1/2

0

1

 

So, binary form of 31 is 11111.
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