What is Octal Number system?

• The Octal number is a number system with base 8 and digits range is from 0 to 7.
• Octal number system was used in past and now a days it is not used in modern digital systems.
• Each Octal Number digit is basically 2 ³=8 and represent a 3-bit Binary Number.
• Binary Numbers and the Octal equivalents are discussed in the table below;

Decimal	Binary	Octal
0	000	0
1	001	1
2	010	2
3	011	3
4	100	4
5	101	5
6	110	6
7	111	7

Table: Octal Equivalents of Binary  and decimal Numbers

Counting in Octal Number System

• The maximum value that can be represented by a one single octal digit is 7 because it starts from 0 and octal means 0 to 8.
• Decimal 8 can be represented by a combination of 10₈.
• The subscript 8 in 10₈ indicates that the number is Octal.
• Some of the Octal Numbers for Decimal numbers 8 to 30 are discussed in table below;

Decimal	Octal		Decimal		Octal	Decimal	Octal
8	10		16		20	24	30
9	11		17		21	25	31
10	12		18		22	26	32
11	13		19		23	27	33
12	14		20		24	28	34
13	15		21		25	29	35
14	16		22		26	30	36
15	17		23		27	31	37
		Table:		Octal Numbers upper than 0 to 7

Thanks: Hopefully you are now able to understand the octal number systems