answersLogoWhite

0


Best Answer

The octal (base-8) system of notation uses eight symbols, 0, 1, 2, 3, 4, 5, 6 and 7, rather than the ten symbols we use in decimal. We denote an octal number by prefixing it with "oct:" or by postfixing 8 to differentiate it from decimal notation (formally prefixed with "dec:" or postfixed with 10).

In decimal, each position represents an increasing power of 10, with the units position on the right. In octal, each position is an increasing power of 8. Thus 108 is decimal 1x81 which is 810, while 1008 is decimal 1x82, which is 6410.

Octal is typically used as shorthand method of denoting binary numbers (base-2) where each octal digit represents a group of 3 binary digits (bits), because 3 bits have 8 different combinations, including 000. Thus:

0002 = 08

0012 = 18

0102 = 28

0112 = 38

1002 = 48

1012 = 58

1102 = 68

1112 = 78

Thus a longer binary number such 11001110 can be split into 3 groups of three (with an implied leading zero):

(0)11 001 110

Translating each of these groups into octal we get 3, 1 and 6, which can be combined to form 3168. In decimal this means (3x82) + (1x81) + (6x80) which is 20610.

Thus, 110011102 = 3168 = 20610.

Hexadecimal, base-16, allows us to do the same thing, except the bits are grouped in groups of 4 rather than 3. This is easier to work with because a byte is 8 bits, thus a byte can be represented in 2 hexadecimal digits (where each digit represent a nybble, or half a byte). The symbols used in hexadecimal are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F.

110011102 is therefore CE16, which means (12x161) + (14x160), which as we already know is 20610.

Therefore, 110011102 = 3168 = 20610 = CE16.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is octal system of numeration?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What are the different numeration system?

Base 2 system (Binary)Base 3 systemThere are too many numeration systems to name.


What is the radix of the octal system?

octal is also called base 8


How many 4-digit numbers are there in the hindu-arabic numeration system?

There are 9000 4-digit numbers in hindu-arabic numeration system


What is the advantage of the Hindu-Arabic numeration system over that of other numeration systems like Roman Numeration System?

i have now ideaImproved Answer:-It contains a zero figure thus facilitating the ease and speed of calculating numbers.


What is after million in international numeration system?

billion


The octal numbering system is based on how many digits?

.. octal adj. Of, relating to, or based on the number eight: an octal number ... isthe base-8 number system,


What are the differences and similarities of numeration system to Hindu Arabic?

There is a difference in the numeration system of Hindu Arabic compared to other societies numeration system. The Hindu Arabic system uses symbols to represent the numbers that are lower than ten, while other societies use numbers instead of symbols.


How do you write 615384 in international system of numeration?

615384 in international system of numeration is written as : six hundred fifteen thousand three hundred eighty four.


What do you call your system of numeration that you use to designate numbers?

The Decimal System


Covert 234 10 to octal system.?

The number 234 in octal is expressed as 352.


What is the international system of numeration?

According to international system of numeration, a number is split up into groups. In this system. The first comma placed is after hundreds and then comma is placed after every three digits.


What is the word for Arabic system of numeration?

Arabic numerals