# Decimal to octal calculator

Our octal calculator performs conventional mathematical operations like addition, subtraction, multiplication and division on octal numbers. Not only that, these operations on other systems have various practical applications as well which you would read about later in the article.

What is octal?

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It is a number system with a base 8 represented by digits from 0 to 7 unlike the decimal system that has a base of Octal numerals can be constructed from binary numbers by grouping subsequent binary numbers into classes of three beginning from the right. For instance, the binary characterization for decimal value 74 is Two 0s can be put at the left side: 00 1corresponding the octal digits 1 1 2, giving the octal signification for decimal value of 45 as Send feedback Loading….

Need some help? Octal calculator. First Octal Value. Second Octal Value. A little background of Octal Number System What is octal? How to Use Octal Calculator In order to make calculations, just follow the steps given below: Enter the first octal digit.

Enter the second octal digit. Select the type of operation you want to execute: whether addition, or subtraction or multiplication or division. Related Calculators Binary Calculator. Hex to decimal. Decimal to hex. Binary to hex.To use this decimal to octal converteryou must type a decimal value like into the left field below, and then hit the Convert button.

The converter will give you the octal equivalent of the given decimal number. The decimal numeral system is the most commonly used and the standard system in daily life.

It uses the number 10 as its base radix. Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu—Arabic numeral system.

The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the n th power, in accordance with their position.

The octal number system or shortly oct uses the number 8 as its base radix. As a base-8 numeral system, it uses eight symbols: The numbers from 0 to 7, namely 0, 1, 2, 3, 4, 5, 6 and 7.

Although it was used by some native American tribes until the 20th century, the octal system has become popular in the early ages of computing as a language of computer programming. This is because the octal system shortens binary by simplifying long and complex chains of binary displays used by computers. The octal system is mainly used for counting binary in groups of three: Each octal digit represents three binary digits.

Since 8 is 2 to the third power 2 3the octal system became a perfect abbreviation of binary for machines that employ word sizes divisible by three - which were 6-bit, bit, bit or bit.

Nowadays, most modern systems use hexadecimal rather than octal. However, octal numbers are an important part of basic knowledge in electronics. Decimal to octal conversion can be achieved by applying the repeated division and remainder algorithm.

Simply put, the decimal number is repeatedly divided by the radix 8. In between these divisions, the remainders give the octal equivalent in reverse order. Decimal to Octal Converter To use this decimal to octal converteryou must type a decimal value like into the left field below, and then hit the Convert button. Facebook Twitter.

Decimal Value max: Convert. Decimal Octal 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 Decimal Octal During these challenging times, we guarantee we will work tirelessly to support you.

We will continue to give you accurate and timely information throughout the crisis, and we will deliver on our mission — to help everyone in the world learn how to do anything — no matter what.

Thank you to our community and to all of our readers who are working to aid others in this time of crisis, and to all of those who are making personal sacrifices for the good of their communities. We will get through this together. Updated: June 21, References. Octal is the base 8 number system, that only uses the digits 0 through 7.

Decimal To Octal Conversion - Hindi

Its main advantage is the ease of conversion with binary base 2since each digit in octal can be written as a unique three-digit binary number. Start with the division method, which finds each digit by dividing by powers of 8. The remainder method is faster and uses similar math, but it can be a little harder to understand why it works. To convert from decimal to octal using division, start by writing down the decimal number. Next, list the powers of 8 and divide the decimal number by the largest power of 8.

Calculate the remainder, then divide the remainder by the next power of 8. Repeat this process until you've solved the problem! To learn how to convert decimal to octal using remainders, read on!

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### Convert Octal to Decimal

Learn why people trust wikiHow. To create this article, 21 people, some anonymous, worked to edit and improve it over time. Together, they cited 5 references. This article has also been viewedtimes.Fill the calculator form and click on Calculate button to get result here.

It is distinct for its ease of use, elegant user-interface. It is a free and fast tool. You heard that right! It's solely a service. You can have your values in decimal, converted to octal numbers in a blink of an eye for free. The decimal number system also called base-ten numeral system is the general system for signifying non-integer and integer numbers.

On the other hand, the octal number system employs a base-8 number system digits 0 to 7 These number systems are widely used in computing processes and are interconvertible. It is worthy of mention that the decimal system extends to infinite decimals. Octal numbers can be made from binary numbers by clustering together, successive binary digits into classes of three beginning from the right side. Our calculator as mentioned earlier is extremely easy to use.

The decimal number system is the fundamental basis of everyday mathematics while on the other end, the octal number system finds extensive use in computing processes.

## Decimal ⇄ Octal Converter

Together, these two number systems have great importance and enable numerous applications in our daily lives. Send feedback Loading…. Need some help? Decimal to octal. Enter decimal number:. Calculate Loading…. Hex result: 0. After dividing and rounding the value, we get the number List this newly obtained value. Now repeat the previous steps for the new value by first dividing it with 8 and following through with the rest of the steps. Related Calculators Decimal to Binary Converter.

Binary to decimal converter. Hex to decimal. Decimal to hex. Binary to octal. Hex to octal. Octal to binary. Octal to decimal. Octal to hexadecimal. Octal calculator. Thank You! Submit Your Review Close.This calculator will convert decimal numbers into octal numbers and display an interactive conversion chart to show how it arrived at the result.

Tapping any number within the generated conversion chart will display an explanation of how the calculator arrived at the number located within the tapped cell.

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record.

If no data record is selected, or you have no entries stored for this calculator, the line will display "None". Enter the decimal base 10 number you would like to convert into an octal number. Note that the entered number must be positive and may only consist of digitsa single decimal point, and the leading number must not be a zero.

For numbers containing a decimal point, the converter will only convert out to the last digit entered.

This is the octal equivalent to the entered decimal number. Note that after clicking the Convert Decimal to Octal button the converter will display a result summary and an interactive conversion chart below this line. If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button.

Please select and "Clear" any data records you no longer need.

The easiest way to understand what an octal number is is to compare it to something you already know -- a decimal number.

As you know, a decimal number uses the base 10 system for counting and expressing value. It's called "base 10" because it uses ten numeric characters 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 to count and express values. The octal number system, on the other hand, uses the base-8 method for counting and expressing value. It's called "base 8" because it uses 8 numeric characters to count and express value. The 8 octal numeric characters are 0, 1, 2, 3, 4, 5, 6, and 7. Now, since we are looking to convert a base 10 number into a base 8 number, let's compare the base 10 place values to the place values in a base 8 number system:.

As you can see, since each place value in a base 10 number is different than the corresponding place value in a base 8 system, we need a method for converting base 10 place values into base 8 place values. To convert a base 10 number into a base 8 number, the first step is to find the first base 8 place value that is greater than or equal to the decimal number you are converting -- starting at the 8 0 place and working your way to the left. For example, suppose you want to convert the decimal number into an octal number.

In that case, you would find the first base 8 place value that is greater than or equal towhich would be Once you have located your base 8 place value starting point, the next step is to create a conversion chart like the one shown below. Notice that the decimal you want to convert is placed in the left-most cell of Row B, just above the base 8 place value row C. Next, attempt to divide the amount in row B into the amount in row C.

If the amount in row C is greater than the amount in row B, enter a "0" in row D and move the amount in row B one cell to the right. Otherwise, if the amount in row C is less than the amount in row B, enter the number of times row C goes into row B in row D and enter the remainder in the next open cell in row B. Then simply repeat this process for each subsequent column. Here is how the completed conversion chart would look:.Java program to convert decimal to octal vice versa octal to decimal using standard values, recursion, array, and vice versa.

Here are the basic steps just to let you know the conversion from decimal to octal in math. If you have a clear idea about the conversion then skip the below tutorial and check out the programming — Here is the complete list of programs for beginners.

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An octal is a computer-based system with base eight. The digits in math are 0, 1, 2, 3, 4, 5, 6, 7. A decimal number system is a term with base The decimal number system consists of 10 digits from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

For Example, take one number e. Hope you get it. Here is the Java code to print conversion.

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Using Static Method. Using Recursion Method.

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Basic Program. Convert Octal To Decimal: Vice versa. What is octal?

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What is Decimal? How to convert from decimal to octal? Scanner. Enter a Dec number :. Oct number is :. Enter Oct Number :. Deci Number is : Java Tutor.

Copyrighted Protected. Enter a Dec number : 52 Oct number is : Enter a Dec number : Oct number is : Enter a Dec number : 16 Oct number is : Enter Oct Number : 65 Deci Number is : Also, convert from octal to decimal with this calculator.

Let's be honest - sometimes the best decimal to octal calculator is the one that is easy to use and doesn't require us to even know what the decimal to octal formula is in the first place!

But if you want to know the exact formula for calculating decimal to octal then please check out the "Formula" box above. You can get a free online decimal to octal calculator for your website and you don't even have to download the decimal to octal calculator - you can just copy and paste! Click the "Customize" button above to learn more! Calculator Pro Calculators. Decimal Number:. Thank us with a "Like":. Need multiple calculators? Not what you're looking for?

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### Octal Converter

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Required link back. Customize Calculations - unlimited. No link. How to Calculate Decimal to Octal Let's be honest - sometimes the best decimal to octal calculator is the one that is easy to use and doesn't require us to even know what the decimal to octal formula is in the first place! Love our Calculators? Donate to CalculatorPro!