Q&A for How to Convert Binary to Octal Number

See the wikiHow article on converting from decimal to octal for details.

Group the binary number into the group of three's. Add an extra zero to the left of the number to complete the group of three. Then follow the above procedure.

First identify if it is a binary number. Always Group them into numbers of three. Add extra zero on extreme left to complete the group, don't add anywhere else.

As a base-eight system, each digit in an octal number has a higher value than each number in a binary system. This is because binary numbers start from base-two. Decimal and Hexadecimal systems, which are base-ten and base-sixteen respectively, have higher values per place holder.

There are several ways to convert octal to binary. One way is to change the octal to decimal and then change the decimal to binary. However, it doubles the work. The second way is more efficient: Start from most significant octal bit to the least significant bit or reverse and change into a three binary bit and do it until completion. For example: Octal number 125= Binary number 1010101 Explanation : 1=001 2=010 5=101 so the binary number is 001010101 = 1010101

Group the binary digits as the sets of 3 digits from the left, add zeros at the left side of the binary digit remaining to have the three digit format, and arrive at or substitute the equivalent octal numbers. So, 1001 will become 001 001. Now find the octal equivalent of 11 with base 8, and that is the answer.

Check out out wikiHow's similar article on converting to Hexadecimal, found at How to Convert Binary to Hexadecimal .

You have to put zeroes only on the right-hand side after the decimal to complete grouping of numbers. In this case, 10 will become 100, which is 4 in octal base.

4, 2, and 1 are powers of 2. And binary is base 2. 2^0 = 1, 2^1 = 2, and 2^2 = 4.

I chose 10001. 1. Sort the bin_num in groups of 3.(10 001)(bin_num means binary number) 2. Add 0's if needed.(010 001)3. Add how many of each "place" has and join.(010 001, 0+2+0=2 0+0+1=1, 2 1, 21)4. Voila! You have an octal.

Remove the extra zeroes from the grid. (010100100, hex (0) 1010 0100, oct 010 100 100)

Each digit in the binary code is equal to the digit after times 2. For example: The binary code 1101 would be equal to 13 because the digit on the very right would be equal to 1, the second digit to the right would be equal to 2 but is equal to 0 instead, the third digit to the right would be equal to 4, and the first digit would be equal to 8.