Binary to Octal Converter
Convert binary values to octal format by entering a binary number and clicking convert.
Information on Number Conversion
A number system is a method of expressing numbers in a consistent manner using digits and numbers. There are different number system like, Decimal, Binary, Octal, Hexadecimal. These different number systems are used in different contexts.
Binary Number System
Binary number system is a base 2 number system. It uses only two digits, 0 and 1. The position of each digit in a binary number denotes the power of 2. The rightmost digit is the ones place, the next digit to the left is the twos place, the next digit to the left is the fours place, and so on.
An example of a binary number is
10112 = 1×23 + 0×22 + 1×21 + 1×20
Octal Number System
Octal number system is a base 8 number system. It uses 8 digits from 0 to 7. The position of each digit in an octal number denotes the power of 8. The rightmost digit is the ones place, the next digit to the left is the eights place, the next digit to the left is the sixty-fours place, and so on.
An example of an octal number is
12348 = 1×83 + 2×82 + 3×81 + 4×80
Binary to Octal Conversion table
The table below shows the binary to octal conversion table.
| Binary | Octal |
|---|---|
| 000 | 0 |
| 001 | 1 |
| 010 | 2 |
| 011 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
How to convert Binary to Octal?
To convert a binary number to octal, you can use the following steps:
Step 1: Write down the binary number.
Step 2: Group the binary number into groups of three bits starting from the right.
Step 3: Convert each group of three bits to octal.
Example 1: Convert 100110100102 to (?)8
Step 1: Write down the binary number: 100110100102
Step 2: Group the binary number into groups of three bits starting from the right: 010 011 010 010
Step 3: Convert each group of three bits to octal: 2 3 2 2
Therefore, 100110100102 = 23228
Elaborate Table
| Binary | 100 110 100 10 | ||
| Grouped in 3-bits | 010 011 010 010 | ||
| Octal | 2 3 2 2 | ||
| Result | 2322 | ||
| The octal Representation of (10011010010)2 is (2322)8 | |||
Example 2: Convert 111100010010000002 to (?)8
Step 1: Write down the binary number: 111100010010000002
Step 2: Group the binary number into groups of three bits starting from the right: 000 111 100 010 010 000 000
Step 3: Convert each group of three bits to octal: 0 7 4 2 2 0 0
Therefore, 111100010010000002 = 3611008
Elaborate Table
| Binary | 111 100 010 010 000 00 | ||
| Grouped in 3-bits | 011 110 001 001 000 000 | ||
| Octal | 3 6 1 1 0 0 | ||
| Result | 361100 | ||
| The octal Representation of (11110001001000000)2 is (361100)8 | |||
Binary to Octal converter
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