Online Decimal to Octal Converter

This free online tool converts decimal to octal instantly, providing accurate results for all your conversion needs.

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Decimal (Note : Separate Decimal values by single space for multiple value checks.)

Output

What are Decimal Numbers?

Decimal numbers are part of the base-10 numbering system, which is the most commonly used system for representing numbers in everyday life. This system employs ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each digit in a decimal number has a place value that is a power of 10.

The decimal system is also known as the Hindu-Arabic numeral system and is integral to various fields such as mathematics, engineering, and science.

What are Octal Numbers?

Octal numbers are part of the base-8 numbering system, which uses eight digits: 0, 1, 2, 3, 4, 5, 6, and 7. This system is less common than the decimal system but is used in computing and digital electronics.

Each digit in an octal number has a place value that is a power of 8. Octal numbers are often used in computer science because they can be easily converted to and from binary numbers, which are used internally by computers.

What is a Decimal to Octal Converter?

A decimal-to-octal converter is a tool that converts decimal (base 10) numbers into octal (base 8) numbers. It is a useful tool for computer scientists and engineers, as it allows them to easily convert decimal numbers into the octal number system, which is often used to represent binary data.

How to Use the Decimal to Octal Conversion Tool?

Using the Decimal to Octal Conversion Tool on LambdaTest is straightforward. Follow these steps to convert your decimal numbers to octal:

Step-by-Step Guide

  • Access the Tool: Open your web browser and go to Decimal to Octal Conversion Tool.
  • Enter the Decimal Number: Locate the input field under “Decimal” and type or paste the decimal number you want to convert into Octal.
  • Convert the Number: After entering the decimal number, click “Convert to Octal”.
  • View the Result: The octal equivalent of the entered decimal number will be displayed in the “Output” section. You can copy the octal number for use in your calculations or records.

Example

Let's go through an example:

  • Click on “Add Sample File”.
  • The decimal number will be displayed in the output, “45 56.6 70 30”.
  • Click on “Convert to Octal”.
  • The tool will display the octal equivalent, 55 70.46314631 106 36.

Tips for Using the Tool

  • Ensure Correct Input: Make sure the number entered is a valid decimal number. The tool will not accept letters or special characters.
  • File Upload: You can upload a TXT(Text) file and separate decimal numbers with space to convert many numbers simultaneously, but make sure there are no alphabets or special characters.
  • Mobile-Friendly: You can use this tool on your mobile device, making conversions on the go convenient.

How to Convert from Decimal to Octal with Steps?

Converting a decimal number to its octal equivalent involves a process of repeated division by 8, keeping track of the remainder. Here’s a step-by-step guide:

Method 1: Convert Decimal to Octal with Steps:

  • Divide the decimal number by 8.
  • Record the remainder.
  • Update the quotient (the result of the division).
  • Repeat the process with the new quotient until the quotient becomes zero.
  • Read the remainder in reverse order to get the octal number.

Example 1

Let's convert the decimal number 156 to octal:

  • Divide the decimal number (156) by 8:
    • 156 ÷ 8 = 19 with a remainder of 4.
    • Record the remainder: 4.
  • Divide the quotient (19) by 8:
    • 19 ÷ 8 = 2 with a remainder of 3.
    • Record the remainder: 3.
  • Divide the new quotient (2) by 8:
    • 2 ÷ 8 = 0 with a remainder of 2.
    • Record the remainder: 2.
  • Reading the remainders in reverse order (from the last division to the first):
    • The remainder are 2, 3, and 4.
    • Therefore, the octal representation of 156 is 234.

Example 2

Convert the decimal number 83 to octal:

  • Divide 83 by 8:
    • 83 ÷ 8 = 10 with a remainder of 3.
    • Record the remainder: 3.
  • Divide the quotient (10) by 8:
    • 10 ÷ 8 = 1 with a remainder of 2.
    • Record the remainder: 2.
  • Divide the new quotient (1) by 8:
    • 1 ÷ 8 = 0 with a remainder of 1.
    • Record the remainder: 1.
  • Reading the remainder in reverse order:
    • The remainder are 1, 2, and 3.
    • Therefore, the octal representation of 83 is 123.

Example 3

Try converting the decimal number 45 to octal using the steps provided:

  • Divide 45 by 8:
    • 45 ÷ 8 = 5 with a remainder of 5.
    • Record the remainder: 5.
  • Divide the quotient (5) by 8:
    • 5 ÷ 8 = 0 with a remainder of 5.
    • Record the remainder: 5.
  • Reading the remainder in reverse order:
    • The remainder are 5 and 5.
    • Therefore, the octal representation of 45 is 55.

Following these steps, you can accurately convert any decimal number to its octal equivalent.

Method 2: Convert Decimal to Binary to Octal

This method involves converting a decimal number to binary first and then converting the binary number to octal.

Steps to Convert Decimal to Binary:

  • Divide the decimal number by 2.
  • Record the remainder.
  • Update the quotient.
  • Repeat the process until the quotient becomes zero.
  • Read the remainder in reverse order to get the binary number.

Convert Binary to Octal:

  • Group the binary digits into sets of three, starting from the right. Add leading zeros if necessary.
  • Convert each group of three binary digits to a single octal digit.

Example 1

Convert decimal 156 to octal:

  • Convert 156 to binary:
    • 156 ÷ 2 = 78, remainder = 0
    • 78 ÷ 2 = 39, remainder = 0
    • 39 ÷ 2 = 19, remainder = 1
    • 19 ÷ 2 = 9, remainder = 1
    • 9 ÷ 2 = 4, remainder = 1
    • 4 ÷ 2 = 2, remainder = 0
    • 2 ÷ 2 = 1, remainder = 0
    • 1 ÷ 2 = 0, remainder = 1
  • Binary representation: 10011100.
  • Group the binary digits into sets of three (from right to left): 10011100.
  • Add leading zeros if necessary: 001 001 110
  • Convert each group of three binary digits to octal:
    • 001 = 1
    • 001 = 1
    • 110 = 6
  • So, the octal representation is 116.

Decimal to Octal Table

Here is a quick reference table for converting decimal numbers to octal:

DecimalOctal
00
11
22
33
44
55
66
77
810
911
1012
1113
1214
1315
1416
1517
1620
1721
1822
1923
2024
2125
2226
2327
2430
2531
2632
2733
2834
2935
3036
3137
3240
3341
3442
3543
3644
3745
3846
3947
4050
4151
4252
4353
4454
4555
4656
4757
4860
4961
5062
5163
5264
5365
5466
5567
5670
5771
5872
5973
6074
6175
6276
6377
64100
65101
66102
67103
68104
69105
70106
71107
72110
73111
74112
75113
76114
77115
78116
79117
80120
81121
82122
83123
84124
85125
86126
87127
88130
89131
90132
91133
92134
93135
94136
95137
96140
97141
98142
99143
100144
101145

Frequently Asked Questions (FAQs)

Is the Decimal to Octal Conversion Tool free to use?

Yes, the tool is free for anyone needing to perform decimal to octal conversions.

Can I use the tool on mobile devices?

Yes, the Decimal to Octal Conversion Tool is mobile-friendly and can be used on any device with internet access.

Why would I need to convert decimal numbers to octal?

Converting decimal numbers to octal is useful in various fields, including computer science, digital electronics, and programming, where octal numbers are often used.

Does the tool support large decimal numbers?

Yes, the Decimal to Octal Conversion Tool can handle large decimal numbers efficiently.

How accurate is the Decimal to Octal Conversion Tool?

The tool provides 100% accurate conversions based on standard mathematical algorithms.

Do I need to create an account to use the tool?

No, you do not need to create an account. The tool is available for use without any registration.

Can I use the tool offline?

No, the Decimal to Octal Conversion Tool requires an internet connection.

Is there a limit to how many conversions I can perform?

No, there is no limit. You can use the tool to perform as many conversions as you need. You can also make conversions in bulk.

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