# How to convert decimal binary to octal

In some cases, particularly in math calculations, you may need to convert decimal number to binary, octal or hex number or vice versa, if you are not good at the conversion, this job must be a problem for you. And if you need, drag the auto fill handle down or right to fill the cells. To convert decimal to hex, octal or vice versa, you can take references form below table.

Tip : In above formulas, A1 is the cell you use to convert. There is a multi-units converter called Unit Conversion which is one of utility of Kutools for Excelcan quickly convert between multiple measures.

After free installing Kutools for Excel, please do as below:. See screenshot:. Select Hex from the Units dropdown list, and then select the units from the two lists, and you can preview the results in the right Preview pane. Never need to worry about long long formulas in Excel anymore! Kutools for Excel 's Auto Text can add all formulas to a group as auto text, and liberate your brain!

## How to Convert Decimal to Octal?

Kutools for Excelwith more than handy Excel functions, enhance your working efficiency and save your working time.Learning about decimal and octal numeric systems is a basic tool that most people dabbling in software should understand.

You need to know how to convert between the various forms to make sense of machine-level data. There are four major numerical systems in the world today: binary, octal, decimal and hexadecimal. Each system has its own use in different things. For example, we use the decimal system for any kind of calculation on a human level of intelligence.

Older machines constantly use binary and octal, modern machines make use of the hexadecimal system. So as long as human-to-machine interfacing is required, we will always have the need to convert one numerical system into the other. Everyone knows the decimal number system. It is the main number system we use today, and has 10 discrete digits from 0 to 9.

The octal system on the other hand has only 8 digits hence the name octal. The numbers in an octal system are only from 0 — 7. That means, there is no 8 and 9 in a normal octal system.

### Hex,decimal,octal,binary converter

The octal system is used mainly in computer programming languages. There is a relationship between the octal and the binary system, which makes it very useful while programming computers.

It is also often used in place of the hexadecimal system 16 digitsas it has fewer digits. It is one of the most commonly explained problems in computer basics. An octal number can be converted to a decimal number using the following formula:. This means from the decimal point. We will get to converting octal fractions later.

Convert So, when we convert the octal fraction Octal numbers may not be used regularly most modern systems use hexadecimalbut it certainly pays to know what to do with one when you encounter it.

It forms one element of the basic knowledge in electronics, and is therefore necessary to be understood thoroughly. Here is an article which would throw some light upon the working and types of rain gauges. I'm singing in the rain, just singing in the rain; What a wonderful…. Copper is a fairly common, red-colored metal. The article below highlights some of the important chemical properties of copper. Necessary cookies are absolutely essential for the website to function properly.

### 4. Octal Number Conversion

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It is mandatory to procure user consent prior to running these cookies on your website. Posted in Uncategorized. Related Posts Types of Rain Gauges Here is an article which would throw some light upon the working and types of rain gauges.

How are Earthquakes Detected? Why do earthquakes occur? How are they detected? Read on to find the answers. Chemical Properties of Copper Copper is a fairly common, red-colored metal.This online calculator is able to convert numbers from one number system to any othershowing a detailed course of solutions. And calculator designed for:. Currency translation of numbers has one input field. In this field you must enter the number you want to translate. After that, you definitely need to specify in what notation you entered it. In this field you must enter the base system by a single number without any spaces.

Next, you must choose the number you want to translate this into some system. If you wish to receive a detailed course of solutions, please click on the appropriate link. Numeral system is a collection of symbols digits and the rules of their use for numbers representation. There are two types of numeral systems. Non positional system — some letters are used as digits. Positional system — the quantitative value of the numbers depends on its place in the entry number.

The position of figure is called discharge. Rank number increases from right to left. The number of different digits characters used in the positional numeral system for representing record number, is called the base. The homogeneous system — for each category of the set of allowed symbols digits is the same. As an example, we use the decimal system. If to write the number in the homogeneous of the 10th system, it is possible to use in each discharge only one digit in the range of 0 — 9, thus, allowed number of grade 1 st — 0, 2 nd — 5, 3 rd — 4and 4F5 — not, as the letter F is not included in a set of digits from 0 to 9. In the exercise of tasks on the computer introduction of the initial data and output the results of the calculations are usually performed by the user in the usual decimal notation for it.

However, considering that the vast majority of computers use a binary numeral system, it appears the need to transfer numbers from one numeral system to another. Transfer of numbers from q-one to decimal directly comes from the polynomial expression of a particular number. The division is done until the next quotient is not less than the base q.To use this binary to octal conversion tool, you must type a binary value like into the left field below and hit the Convert button.

The converter will give you the octal equivalent of the given binary. The binary numeral system uses the number 2 as its base radix. As a base-2 numeral system, it consists of only two numbers: 0 and 1.

Octal to Binary Number Conversion with Decimal Point - Number System Conversions

While it has been applied in ancient Egypt, China and India for different purposes, the binary system has become the language of electronics and computers in the modern world. It is also the basis for binary code that is used to compose data in computer-based machines.

Even the digital text that you are reading right now consists of binary numbers. Reading a binary number is easier than it looks: This is a positional system; therefore, every digit in a binary number is raised to the powers of 2, starting from the rightmost with 2 0.

In the binary system, each binary digit refers to 1 bit. 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. Converting from binary to octal is very easy since octal numbers are only simplified versions of binary strings. You just need to remember that each octal digit represents three binary digits so that three binary digits will give only one octal digit. Related converters: Octal To Binary Converter. Binary to Octal Converter To use this binary to octal conversion tool, you must type a binary value like into the left field below and hit the Convert button.

Facebook Twitter. Binary Value Convert.Binary is the simplest kind of number system that uses only two digits of 0 and 1 i. Since digital electronics have only these two states either 0 or 1so binary number is most preferred in modern computer engineer, networking and communication specialists, and other professionals.

Whereas Octal number is one of the number systems which has value is 10 and it has only 8 symbols: 0, 1, 2, 3, 4, 5, 6, and 7. Octal number system provides convenient way of converting large binary numbers into more compact and smaller groups.

There are various ways to convert a binary number into octal number. You can convert using direct methods or indirect methods. First, you need to convert a binary into other base system e. Then you need to convert it octal number. Since number numbers are type of positional number system.

That means weight of the positions from right to left are as 8 08 18 28 3 and so on for the integer part and weight of the positions from left to right are as 8 -18 -28 -3 and so on.

## Octal to Decimal converter

However, there is also a direct method to convert a binary number into octal number: grouping which is explained as following below. Since, there are only 8 digits from 0 to 7 in octal number system, so we can represent any digit of octal number system using only 3 bit as following below.

So, if you make each group of 3 bit of binary input number, then replace each group of binary number from its equivalent octal digits. That will be octal number of given number number. Divide the binary digits into groups of three starting from right for integer part and start from left for fraction part. This is simple algorithm where you have to grouped binary number and replace their equivalent octal digit.

Since there is no binary point here and no fractional part. Example-2 Convert binary number Since there is binary point here and fractional part. How to Convert Binary to Octal? George John. Previous Page Print Page. Next Page.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.

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We will get through this together. Updated: February 22, Reader-Approved References. Binary and octal systems are different number systems commonly used in computing. They have different bases -- binary is base-two and octal base-eight -- meaning they must be grouped to convert. This, however, sounds far more complicated than this very easy conversion actually is. Group the digits in sets of 3.

Add zeros if you have less than 3 of any number. Add a "" under group of 3 as a placeholder. By using our site, you agree to our cookie policy. As the COVID situation develops, our hearts ache as we think about all the people around the world that are affected by the pandemic Read morebut we are also encouraged by the stories of our readers finding help through our site. Article Edit. Learn why people trust wikiHow.

This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness.Decimal conversions can be done by either successive division method or successive multiplication method. The below solved example along with step by step calculation for decimal to binary conversion let the users to understand how to perform such conversion manually. Step by step conversion: step 1: For decimal to binary conversion by successive division, divide the decimal number by 2 until the quotient reach to 1 or 0.

Solved Example: Convert the decimal number 37 to its binary equivalent. The below solved example along with step by step calculation for decimal to hexa-decimal conversion let the users to understand how to perform such conversions manually. Step by step conversion: step 1: For decimal to hex conversion by successive division, divide the decimal number by 16 until the quotient reach to 0 or less than Solved Example: Convert Decimal number to its Hex equivalent.

Step by step conversion: step 1: For decimal to octal conversion by successive division, divide the decimal number by 8 until the quotient reach to 0 or less than 8. Decimal to Binary Conversion The below solved example along with step by step calculation for decimal to binary conversion let the users to understand how to perform such conversion manually.

Decimal to Hex Converter The below solved example along with step by step calculation for decimal to hexa-decimal conversion let the users to understand how to perform such conversions manually. Decimal to Octal Converter he below solved example along with step by step calculation for decimal to octal conversion let the users to understand how to perform such conversions manually. Close Download. Continue with Facebook Continue with Google. By continuing with ncalculators. You must login to use this feature!

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