# Binary to Octal

Conversion

We learn how to change the base 2 number system into the base 8 number system while converting from binary to octal. Since we can't convert from binary to octal directly, we first convert from binary to decimal, and then from the decimal number to the octal number system. Since computers only understand the binary digits 0 and 1, binary numbers—in the form of bits and bytes—are frequently utilised in computing. Electronics utilise octal numerals at the same time. We must first become familiar with octal and binary numbers before moving on to the conversion.

Binary numbers are those with the base 2 system. It only makes use of the numbers 0 and 1. It is represented by the symbol a2, where an is a number having both 0s and 1s.

How do octal numbers work?

Octal to Binary Conversion
There are several different sorts of numbers in the number system, including binary, octal, decimal, and hexadecimal. The steps listed below can be used to convert binary numbers to octal numbers:

Consider the following binary number.
Each digit should be multiplied by 2n-1, where n is the digit's distance from the decimal.
The outcome is the binary number's corresponding decimal number.
the decimal number by eight.
Take note of the rest
until the quotient is zero, repeat the previous two steps with the quotient.
Reverse the order of the remaining sentences.
The outcome is the necessary binary number in octal format. 