Question

convert 439 decimal numbers into binary numbers.
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Answer 1

Divide (439)10 successively by 2 until the quotient is 0:
439/2 = 219, remainder is 1
219/2 = 109, remainder is 1
109/2 = 54, remainder is 1
54/2 = 27, remainder is 0
27/2 = 13, remainder is 1
13/2 = 6, remainder is 1
6/2 = 3, remainder is 0
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1

Answer 2

Given: The decimal number is 439

To find The equivalent binary number of the given decimal number

Solution: In computer science, we get to know the terms decimal numbers, hexadecimal numbers, binary numbers, and octal numbers. We are required to convert one form to another, like convert decimal numbers to equivalent binary numbers or vice-versa.

Here we are told to convert the decimal number 439 to an equivalent binary number.

For converting decimal numbers to binary numbers, we divide the decimal number by 2 and divide until the quotient becomes zero. We have to take the remainders after dividing each step until the quotient becomes zero. To get the equivalent binary number, we have to take the remainders from down to the top.

∴ Dividing by 2                    Quotient             Remainder

   439/2                                  219                        1

    219/2                                  109                       1  

     109/2                                   54                      1

       54/2                                   27                     0

       27/2                                   13                       1

       13/2                                    6                        1

         6/2                                   3                        0

         3/2                                   1                         1

          1/2                                  0                         1              

∴ (439)₁₀ =(110110111)₂  [representation of decimal number and binary number]

Hence the equivalent binary number of the decimal number (439)₁₀ is (110110111)₂.