Definition of Decimal Number System: The decimal number system is the base-10 number system. It uses the ten digits, from 0 to 9.
The decimal numbers are the most widely used in daily life all over the world.
Definition of Octal Number System: The octal number system is the base-8 number system, and uses the digits 0 to 7. That is to say 10octal represents eight and 100octal represents sixty-four.
In the early phase of modern computer development, 6-bit, 12-bit binary words were vastly used. Octal numbers were ideal for abbreviating those words. In the current times, however, 32-bit, 64-bits and even bigger binary words are used in computers.