What is 7 octal in binary? 7 from octal to binary is 111. Here we show you how to write 7_{8} in binary and how to convert 7 from base-8 to base-2.

7_{8} in binary

111_{2}

In numeral system, we know octal is base-8 and binary is base-2. To convert octal 7 to binary, you follow these steps:

To do this, first convert octal into decimal, then the resulting decimal into binary

- Start from one's place in octal : multiply ones place with 8^0, tens place with 8^1, hundreds place with 8^2 and so on from right to left
- Add all the products we got from step 1 to get the decimal equivalent of given octal value.
- Then, divide decimal value we got from step-2 by 2 keeping notice of the quotient and the remainder.
- Continue dividing the quotient by 2 until you get a quotient of zero.
- Then just write out the remainders in the reverse order to get binary equivalent of decimal number.

First, convert 7_{8} into decimal, by using above steps:

= 7_{8}

= 7 × 8^{0}

= 7_{10}

Now, we have to convert 7_{10} to binary

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 7 converted to binary is therefore equal to :

**111**

Here are some more examples of octal to binary conversion