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What is Octal Number system? DLD digital logic design

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;
DecimalBinaryOctal
00000
10011
20102
30113
41004
51015
61106
71117

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;
DecimalOctal DecimalOctalDecimalOctal
810 16 202430
911 17 212531
1012 18 222632
1113 19 232733
1214 20 242834
1315 21 252935
1416 22 263036
1517 23 273137
  Table:Octal Numbers upper than 0 to 7 

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

Fazal Rehman Shamil Click Here to Know More
Instructor, Researcher, Blogger, SEO Expert, Poet and Publisher of International Journal Of Software, Technology & Science ISSN : 2616 - 5325
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