### Enter a number here to be converted:

Once you have entered the number you desire to convert, click one of the three buttons below to complete the conversion. The result will be displayed in the red fields.

# Base Converter

A base converter is software that transforms data from one format to another. For example, if you want to convert a spreadsheet to a Word document, you may utilise a base converter. The base converter will convert the numbers in the spreadsheet to Microsoft Word numbers. Although this is a simplified example, base converters may convert data to any format.

A base converter is a way of converting one kind of unit to another by using a reference point (such as a weighted average of a large number of proxy indicators). A base converter, for example, might convert carbon-dioxide concentrations in the environment to carbon-dioxide emissions from a power plant.

A base converter is a web tool that translates text to another sort of text, such as a specific language or digital encoding. A base converter, for example, might transform text from English to Spanish or vice versa. A converter can also modify the font size and style.

A base converter is a computer software that changes the character set of text. Base conversions are frequently used to convert text from one language to another or from one writing system to another.

A base converter is a conversion machine that takes a base currency and converts it into a new currency, usually with less value. The currency base is the total value of the base currency in circulation. The new currency is then traded for the new currency.

## How to Change the Base of a Number?

A number may be converted from one base to another in two simple steps.

If the number has not previously been converted to decimal or base 10, the first step is to do so. The next step is to convert decimal to the chosen base.

Converting from Any Base to Decimal

To convert a number to another base, the first step is to convert it to decimal. Proceed to the following step if the number is already a decimal.

Use positional notation to convert an integer to a decimal. Multiply the base to the power of n by each digit in the number from the rightmost number to the left, where n is the distance from the right.

So, reading the original number from right to left, the digit times (base)0 is equal to the digit. The digit one place to the right equals the digit times (base)1.

**Decimal Conversion Formula**

*Thus, the decimal conversion formula is:*

decimal number10 = (d0 × (base)0) + (d1 × (base)1) + … + (dn – 1 × (base)n – 1)

When using this formula, d0 is the digit furthest to the right, d1 is the digit one position from the right, and dn – 1 is the digit furthest to the left.

For example, let’s convert the hexadecimal number c3f to base 12. Start by converting it to decimal.

decimal number10 = (12 × 162) + (3 × 161) + (15 × 160)

decimal number10 = 3072 + 48 + 15

decimal number10 = 3135

## How to Convert a Decimal to Any Base?

Use the successive division procedure to convert the decimal number to the chosen result base.

Divide the decimal number by the specified base using long division to apply the successive division approach. To the side of the division issue, write the residual. Use the table below to get the corresponding letter digit for remainders greater than 9.

Divide the resultant quotient of the first division issue by the required base once again. Write the remainder to the side of the issue, as you did in the first step.