Question

6. Convert the following Octal number to Binary Number: (6136) = (?)


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Answer 1

Answer:

110001011110

Explanation:

First, convert 61368 into decimal, by using above steps:

= 61368

= 6 × 831 × 823 × 816 × 80

= 316610

Now, we have to convert 316610 to binary

3166 / 2 = 1583 with remainder 0

1583 / 2 = 791 with remainder 1

791 / 2 = 395 with remainder 1

395 / 2 = 197 with remainder 1

197 / 2 = 98 with remainder 1

98 / 2 = 49 with remainder 0

49 / 2 = 24 with remainder 1

24 / 2 = 12 with remainder 0

12 / 2 = 6 with remainder 0

6 / 2 = 3 with remainder 0

3 / 2 = 1 with remainder 1

1 / 2 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The octal number 6136 converted to binary is therefore equal to :