write the octal equivalent of 65743 in decimal number ?
Answers
Number System, a number with the base 10 is known is as Decimal Number. Whereas the number with base 8 is known as Octal Number. Thus, in Decimal to Octal Conversion, we will have to divide the Decimal Number by 8. In this article, we will bring you the methods on how to convert Decimal to Octal numbers with steps and solved examples. Read on to find out more.
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Decimal To Octal Conversion
Before getting into the details of how do you convert from Decimal to Octal, let’s understand what is Decimal Number and Octal Number in Number System.
What Is Decimal Number?
Decimal Number Defenition: All numbers with the base 10 are known as Decimal numbers. The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are used to represent decimal numbers.
Decimal Number Representation
What is Octal Number?
Octal Numbers, also called Oct, are numbers with base 8. Octal Numbers are represented by only 8 digits – 0, 1, 2, 3, 4, 5, 6, and 7. If a is an Octal number then, in Octal Number system, it is represented as (a)8.
Octal Number Example: (21)8
How To Convert Decimal To Octal Number?
The step-by-step procedure to convert a Decimal Number to an Octal Number is given below:
Decimal to Octal Conversion with Steps
Check if the given number is less than 8. If the given number is less than 8, the Octal Number will be the same as the Decimal Number and there is no need to convert. Else move to step 2.
If the given number is more than 8, then divide the number by 8.
Note the Remainder.
Repeat Step 2 & 3 until the quotient is less than 8.
Now write the remainders in the reverse order that is from bottom to top.
Decimal to Octal Conversion Examples
Convert 440 to Octal Number
1st Step: 440 is more than 8, so divide 440 by 8. The Quotient is 55 and the remainder is 0.
2nd Step: Now divide 55 by 8. The Quotient is 6 and the remainder is 7.
3rd Step: Now Quotient 6 cannot be divided by 8 since 6 is an octal number.
Now write all the remainders from bottom to top.
Decimal No Quotient Remainder
440 ÷ 8 55 0
55 ÷ 8 6 7
6 ÷ 8 0 6
Decimal To Octal Table
Decimal Equivalent Octal Number table is given below:
Decimal Equivalent
Octal Number Decimal Equivalent
Octal Number
0 0 9 11
1 1 10 12
2 2 11 13
3 3 12 14
4 4 13 15
5 5 14 16
6 6 15 17
7 7 16 20
8 10 17 21
Also, Check
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Binary To Decimal (Soon) Octal To Hexadecimal (Soon) Hexadecimal To Binary (Soon)
Decimal To Octal Conversion Solved Examples
Few solved examples of Decimal Number to Octal Numbers are given below
Q1. Convert 256 to Octal Number.
Answer:
1st Step: 256 ÷ 8 = Q(32) R(0)
2nd Step: 32 ÷ 8 = Q(4) R (0)
3rd Step: 4 ÷ 8 = Q(0) R (4)
256 Octal Equivalent number is (400)8
Decimal No Quotient Remainder
256 ÷ 8 32 0
32 ÷ 8 4 0
4 ÷ 8 0 4
Q2. Convert 100 to Octal Number.
Answer:
1st Step: 100 ÷ 8 = Q(12) R(4)
2nd Step: 12 ÷ 8 = Q(1) R (4)
3rd Step: 1 ÷ 8 = Q(0) R (1)
100 Octal Equivalent number is (144)8
Decimal No Quotient Reminder
100 ÷ 8 100 4
12 ÷ 8 12 4
1 ÷ 8 0 1
Q3. Convert 2980 to Octal Number
Answer:
1st Step: 2980 ÷ 8 = Q(372) R(4)
2nd Step: 372 ÷ 8 = Q(46) R (4)
3rd Step: 46 ÷ 8 = Q(5) R (6)
4th Step: 5 ÷ 8 = Q(0) R (5)
2980 Octal Equivalent number is (5644)8
Decimal No Quotient Reminder
290 ÷ 8 372 4
372 ÷ 8 46 4
46 ÷ 8 5 6
5 ÷ 8 0 5
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FAQs Regarding Decimal To Octal Conversion
The frequently asked questions regarding Decimal To Octal Conversion are given below:
Q. What is the Octal Representation of Decimal Number 8?
A. The octal representation of Decimal Number 8 is 10.
Q. How do you convert from Decimal to Octal?
A. Divide the given decimal number by 8 until the quotient is less than 8. Now note all the remainders from bottom to top.
Q. What is the Octal Equivalent to Decimal Number 15?
A. 17 is the Octal Equivalent for the Decimal Number 15.
Now that you are provided with all the necessary information on how to convert Decimal Number to Octal number system.
Now, it is time to test yourself. Practice the following questions and test your knowledge.
Answer:
(124)8 is equal to (84)10