Octal Number System

The important features of of the octal number systems are as follows:

1. Base: The Base used for octal number system is 8.

2. The number of values assumed by each digit: Each digit in the octal system will assume 8 different values from 0 to 7 (0, 1, 2, . . . ., 6, 7).

3. The largest value of a digit:

• The largest value of a digit in the octal system will be 7. That means the octal number higher than 7 will not be 8, instead of that it will be 10. Table below gives you a clear idea about this.
• The largest two digit number in octal system is 77. The next higher number after 77 is 100.
  

4. Each digit has a different multiple of base. This is shown below:

Example: Represent the octal number 645 in power of 8.

Solution: Representation in power of 8.

645 = 6*8² + 6*8¹ + 6*8⁰