Binary to octal conversion is the process of converting a binary (base 2) number into its octal (base 8) equivalent. In octal, numbers are represented using digits from 0 to 7.
Steps to Convert Binary to Octal:
Group the binary number into sets of 3 bits starting from the right. If necessary, add leading zeros to the leftmost group to make it a full group of 3 bits.
Convert each 3-bit group to its octal equivalent.
Binary 000 = Octal 0
Binary 001 = Octal 1
Binary 010 = Octal 2
Binary 011 = Octal 3
Binary 100 = Octal 4
Binary 101 = Octal 5
Binary 110 = Octal 6
Binary 111 = Octal 7
Write down the octal digits corresponding to each group.
Example:
Convert binary 110101110 to octal:
Group the binary number into sets of 3 bits:
110101110
→
1
101
011
110
110101110→1 101 011 110
Add leading zeros to the leftmost group to make it a full 3-bit group:
001
101
011
110
001 101 011 110
Convert each group:
001 = 1
101 = 5
011 = 3
110 = 6
So, binary 110101110 is 1536 in octal.