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What would be the equivalent binary expression for 456?
1. 456
2. 111001000
3. 111
4. 00111

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Correct Answer - Option 2 : 111001000

Concept:

Decimal to binary:

  • Take the decimal number as a dividend.
  • Divide the number by 2.
  • Get the integer quotient for the next iteration.
  • Get the remainder (it will be either 0 or 1 because of divisor 2).
  • Repeat the steps until the quotient is equal to 0
  • Write the remainders in reverse order (which will be the equivalent binary number of a given decimal number)

 

Calculation:

Binary of  456:

Division

Remainder (R)

456 / 2 = 228

0

228 / 2 = 114

0

114 / 2 = 57

0

77 / 2 = 28

1

28 / 2 = 14

0

14 / 2 = 7

0

7 / 2 = 3 1
3 / 2 = 1 1
1  

 

Hence the equivalent binary expression for 456 will be 111001000.

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