This is my fourth article on octal arithmetic. In this article I am going to solve some examples on octal division. This is very easy task and principles and rules of division remain same. Here are articles on octal number systems. These articles provide tutorials on mathematical operations on octal number systems which includes octal numbers addition,octal numbers subtraction and octal numbers multiplication.
Key Questions:
- How to perform division in octal numbers system?
- How to perform fractional octal numbers division
Division In Octal Number System (Solved Examples):
To solve division examples you must know how to perform multiplication on octal numbers. I will solve examples on each case. First case in which dividend and divisor both are integers. Second case in which dividend has an octal point and divisor is an integer. Third case in which both dividend and divisor both have floating point numbers. You can check your results by using this online converter.
Example#01:6573)8÷16)8
First we make a table for 16 and it's multiples.
Decimal
|
Octal
| |
16*1
|
16
|
14
|
16*2
|
32
|
34
|
16*3
|
48
|
52
|
16*4
|
64
|
70
|
16*5
|
80
|
106
|
16*6
|
96
|
124
|
366.4
16 ⟌6573
52
137
124
133
124
70
70
XX
Answer:366.4)8
Example#02:457.43)8÷7)8
First make a table for 7 and it's multiples
Decimal
|
Octal
| |
7*1
|
7
|
7
|
7*2
|
14
|
16
|
7*3
|
21
|
25
|
7*4
|
28
|
34
|
7*5
|
35
|
43
|
7*6
|
42
|
52
|
7*7
|
49
|
61
|
53.27
7 ⟌457.43
43
27
25
24
16
63
61
2
Answer:53.27)8
Example#03:737.72)8÷1.2)8
Shifting octal point makes the problem easy. According to mathematical rule shifting octal point of numerator upto one place then you have to shift octal point of denominator upto one place as well.
7377.2)8÷12)8
After shifting octal point divisor/denominator is free from octal point.
Let's make table for 12 and it's multiples.
Decimal
|
Octal
| |
12*1
|
12
|
10
|
12*2
|
24
|
22
|
12*3
|
36
|
34
|
12*4
|
48
|
50
|
12*5
|
60
|
62
|
12*6
|
72
|
74
|
12*7
|
84
|
106
|
577.73
12 ⟌7377.2
62
117
106
117
106
112
106
40
36
2
Answer:577.73)8
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Brother in example 2 in last second step you marked 63 ,it's not 63 it's 83 please review your answer
ReplyDeleteThank you for your response. In ocatal number system 8 is not included.
DeleteThanks so much. It helps greatly!
ReplyDeleteyour 1st example is wrong.....go and check it out...and correct it...
ReplyDeleteI don't think so. Please point out where do you find out an error. I am thankful for your response.
DeleteWhy did u add decimal in your answer in example 2 when the question didn't come with decimal
ReplyDeleteI didn't get what do you want to say.
DeleteI meant in example 1 why did your answer come out in decimal but question is not decimal
ReplyDeleteThe number can not divisible by 16 completely.
ReplyDeleteisn't the octal equivalent of 48, 60? why is it 52 here?
ReplyDeleteHi! Thank you so much for this article. I have a question tho, is it always required to take away 2 when multiplying by one? I didn't quite understand when 16*1 = 14 and 12 * 1 = 10 compared to 7*1 = 7.
ReplyDeletewriter done many mistakes in this article.
Delete16*1 = 16, 12*1 = 12.
il a parfaitement raison car 16 et12 ne sont pas des nombres octaux, essayez de réfléchir et vous trouverez une réponse
ReplyDelete