Here When we speak about the Conversion of octal to a binary number, it consists of a two-step process.First, we need to convert A octal number to its equivalent decimal based number, and then at the second phase, we will need to convert the decimal into binary.

Now let's try to address octal to binary numbers and then try out some examples for how to convert octal to binary.

Octal Number System:

The octal number system, or Oct, in short, is a number on base-8 number system and is based on the digits from 0 to 7.Octal numerals may be made from binary numbers or sometimes by grouping two consecutive binary numerals into a group of three.

Binary Number System:

A binary number is a numerical expression consisting of a base-2, a numeral system that represents numeric values using two different symbols: that comprised of 0 and 1.

Some Examples for Octal To Binary Conversion:

Q.1: Converting octal number 5408 to a binary number.

According to the above algorithm, a similar binary number will be, =(540)8=(101 100 000)2=(101100000)2 Here It tries represents simple octal to binary Conversion

Q.2: Converting 418 to a binary number.

Solution: Here given number is 418 418 =(4*81)+(1*80) =4*8+1*1 =32+1 =33(Decimal number)

Here is an Octal to Binary conversion table below.

Octal

Binary

0

0

1

1

2

10

3

11

4

100

5

101

6

110

7

111

10

1000

11

1001

12

1010

13

1011

14

1100

15

1101

16

1110

17

1111

20

10000

Video Explaining octal to binary conversion with Decimal Point