When

**100**is separated by

**6**, the quotient is

**16**and the remainder is

**4**.When

**16**is split by

**6**, the quotient is

**2**and the remainder is

**4**.When

**2**is divided by

**6**, the quotient is

**0**and also the remainder is

**2**.

You are watching: How to convert base 10 to base 6

Write the remainders **from bottom come top**.

(**100**)**10** = (**244**)**6**

**FRACTIONAL PART**

**OVERALL RESULT**

**OTHER INFORMATION**

WHOLE NUMBERS

**INFORMATION**

**DECIMAL TO basic 6 CONVERSION**

WHOLE NUMBERSWe apply the following rules to convert a decimal number to base 6.

We division the decimal number through 6 continuously until the quotient becomes 0.Starting at the least far-reaching digit, we write the remainders in the same order that divisions.For example, to convert decimal 83 to base 6, we divide 83 by 6 repetitively until the quotient becomes 0.

When we division 83 through 6, the quotient is 13 and the remainder is 5. Thus, 5 is the least far-reaching digit the the base 6 equivalent. We proceed the algorithm v 13. As soon as we division 13 by 6, the quotient is 2 and also the remainder is 1. Then 1 is the second least far-ranging digit of the basic 6 number. Finally, we divide 2 through 6. When we execute this operation, the quotient is 0 and the remainder is 2. Due to the fact that the quotient is 0, we avoid the procedure. Climate we compose the last remainder to the most significant digit of the basic 6 number. To amount up, the base 6 depiction of 83 is 215.

**(83)10** = (215)6

**DECIMAL NUMBERS**

In case, the decimal number is no an integer, us can transform the whole number and also fractional parts independently and include up base 6 equivalents.

To transform the fractional component of a decimal number, we use the following rules.

We multiply the fractional part by 6 continuously until the product i do not care an integer or the number of significant digits is sufficient for ours calculations.At each step, we create the integer component of the rightmost digit to the fractional component of the basic 6 number. We continue with the fractional component of the product.For example, to convert 83.125 to base 6, we multiply the fractional part by 6 continuously until we find an integer.

0.125 × 6 = 0**.75**0.75 × 6 = 4

**.5**0.5 × 6 = 3

The fractional part of 83.125 is 0.125. Once we multiply 0.125 through 6, the an outcome is 0**.75**. The integer component of 0**.75** is 0. For this reason we write 0 to the first digit ~ above the RHS the the radix point.

**0.0**

**We proceed with the fractional component of 0.75**. When we multiply 0.75 through 6, the result is 4**.5**. We compose the integer part of 4**.5** to the following digit the the base 6.

**0.04**

**The fractional component of 4.5** is 0.5. Therefore, we proceed with this number. The product of 0.5 and 6 is equal to 3. Because 3 is an integer we write it to the next digit and also stop multiply numbers.

**(0.125)10** = (0.043)6

Base 6 depiction of 83.125 is equal to the sum of basic 6 depictions of 83 and also 0.125. Thus, decimal 83.125 is equal to 215.043 in base 6.

**(83.125)10** = (83)**10** + (0.125)**10**

= (215)6 + (0.043)6

= (215.043)6

### WHAT IS DECIMAL TO base 6 CONVERTER?

Decimal to base 6 converter,

Computes the base 6 identical of the gone into decimal number andDescribes each action of the conversion because that both entirety number and also fractional parts,### HOW TO usage DECIMAL TO basic 6 CONVERTER?

You can use decimal to base 6 converter in two ways.

**USER INPUTS**

You can get in a decimal number to the entry box and also click ~ above the "**CONVERT**" button. The an outcome and explanations appaer below the calculator

**RANDOM INPUTS**

You can click the **DIE ICON** next to the entry box. If you usage this property, a arbitrarily decimal number is generated and also entered to the calculator, automatically. You have the right to see the an outcome and explanations listed below the calculator. Friend can develop your very own examples and also practice utilizing this property.

**CLEARING THE input BOX**

To check the basic 6 indistinguishable of various other decimals you have the right to clear the input crate by clicking the **CLEAR** button under the input box.

**COPYING & downloading and install THE SOLUTION**

You can copy the generated solution by clicking the "Copy Text" link, appaers under the systems panel.

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Even you deserve to download the systems as an image document with .jpg expansion if you click on the "Download Solution" link at the bottom that the equipment panel. You can share the downloaded picture file.