## Binary to Octal Conversion

As the binary numbers are comprised of only 0 & 1 we have to first divide the binary number into group of 3 digits starting from the right most side, and balancing the number of digits by putting appropriate number of zeroes. Now we have certain numbers of group of binary numbers, then we have to convert those groups into decimal numbers and write in the same order in which they used to be. Now this is the octal equivalent of that binary number. If we consider an example, this will be very easy to understand.

Let us take a binary number say 101101001_{2}

Now dividing it into group of three digits we will find the following pattern

101|101|001

Now writing the equivalent decimal number of each group we get

5 | 5 | 1

So the equivalent octal number is 551_{8}

## Octal to Binary Conversion

Now if we just imagine the reverse of the above explained operation we will be able to find out the method for converting octal number into binary number ourselves.

In this case each of the digits of the octal number is converted into its equivalent binary number and they are merged into the same order they were when they were as octal numbers, the leftmost zeroes are omitted from the number and we get the equivalent binary number. An example is given hereby to explain the method easily.

Let us take a number 34_{8}

Now the binary equivalent of 3 is 011 and that of 4 is 100.

So the desired binary equivalent of the octal number is 111002