Binary to Octal
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How to Convert Binary to Octal?
Binary is the simplest kind of number system that uses only two digits of 0 and 1 (i.e. value of base 2). Since digital electronics have only these two states (either 0 or 1), so binary number is most preferred in modern computer engineers, networking and communication specialists, and other professionals.
Whereas Octal number is one of the number systems which has value is 10 and it has only 8 symbols: 0, 1, 2, 3, 4, 5, 6, and 7.
Conversion from Binary to Octal number system
Octal number system provides convenient way of converting large binary numbers into more compact and smaller groups. There are various ways to convert a binary number into octal number. You can convert using direct methods or indirect methods. First, you need to convert a binary into other base system (e.g., into decimal, or into hexadecimal). Then you need to convert it octal number.
Most Significant Bit (MSB) Octal Point Least Significant Bit (LSB)
82 81 80 8-1 8-2 8-3
64 8 1 1/8 1/64 1/512
Since numbers are type of positional number system. That means weight of the positions from right to left are as 80, 81, 82, 83 and so on for the integer part and weight of the positions from left to right are as 8-1, 8-2, 8-3 and so on. for the fractional part.
Example − Convert binary number 10010110 into octal number.
First convert this into decimal number
= (10010110)2
= 1x27+0x26+0x25+1x24+0x23+1x22+1x21+0x20
= 128+0+0+16+0+4+2+0
= (150)10
Then, convert it into octal number
= (150)10
= 2x82+2x81+6x80
= (226)8 which is answer.