Octal to Binary

In contrast, digital systems, networking, and computer specialists are most familiar with the binary number system. One of the number systems, called an octal number, has a base value of 8, which means that there are only 8 symbols: 0, 1, 2, 3, 4, 5, and 6. Base 2 has two characters—0 and 1—which can be used to represent the digits off and on, respectively.

Conversion from Octal to Binary number system

A binary number can be created using a variety of direct or indirect ways using an octal number. In an indirect technique, an octal number must first be converted into another number system (such as decimal or hexadecimal), after which each digit from the hexadecimal system can be converted into a binary number using the conversion system from decimal to binary number.

Octal Number System:

The base-8 number system known as "oct," or just "oct," employs the digits 0 to 7 to represent numbers. By arranging a series of binary digits in groups of three, it is possible to create octal numerals (starting from the right).

Binary Number System:

A binary number is stated in the binary or base-2 numeral system, which commonly uses the symbols 0 (zero) and 1 to represent numerical values. Binary numbers are used in mathematics and digital technology (one). A positional notation with a radix of 2, the base-2 system. Almost all current computers and computer-based gadgets employ the binary system internally because of its straightforward implementation in digital electronic circuits using logic gates. A bit is used to describe each digit.

Octal to Binary Conversion Procedure

Because octal numbers are condensed copies of binary strings, converting from octal to binary is pretty simple. Keeping this in mind, each octal digit corresponds to three binary digits. So, three binary numbers should result from one octal number (bits). Although octal can be indirectly converted to binary (first to decimal, then to binary), the following steps show how to convert octal to binary directly:

Step 1: Write down the octal number that separates the digits. 

Each octal digit is equivalent to a power of two since it represents three binary digits. The leftmost digit equals 22, the next digit equals 21, and the rightmost digit equals 20 (1). (4). Below the octal digits, write these integers (4, 2, and 1).

Step 2: Choose which powers of two (4, 2, or 1) to add to your octal digits.  

As an illustration, if one of your octal numbers is 6, then 4 and 2 equal 6. (and one is not used). Only 2 is utilized if your octal number is 2, not 4 or 1.

Step 3: List 1 after the 4 and 2 and 1 used. Below any that aren't in use, enter 0.

Step 4: From left to right, read the 1s and 0s you just wrote. Your binary number will be provided.

Octal to Binary conversion table

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
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