Base 7 to base 21 conversion

Base 7 to base 21 converter lets you convert number system between base 7 to base 21 and will give you the result with calculation steps and it also supports decimal numbers. Enter your number and choose bases below to start a conversion.

Input

From base

To base

Swap to (Base 21 to base 7 conversion)

Result

How to convert 1 in base 7 to base 21?

1 _{base 7} = 1 _{base 21}

Calculation steps

To convert 1 in base 7 to base 21, take the following steps.

Convert 1 from base 7 to base 10.
Convert result of the previous step from base 10 to base 21.

Step 1: convert 1 from base 7 to base 10

To start the calculation, let d is the number in each digit and n is the exponent of the number in that digit. Therefore, the steps can be shown in the following table.

Exponent (n)	Digit (d)	d x 7ⁿ	Cumulative sum
0	1	1 x 7⁰	1

From the table above, it can be written as a conversion formula as:
(1 × 7⁰)

Then calculate the sum of all the cumulative sums we get:
1 = 1

Step 2: convert from base 10 to base 21

Conversion from base 10 to base 21 can be done by dividing the number by 21 until the quotient is zero. The steps can be shown in the following table.

#	Number divides 21	Quotient	Remaining
1	1 divides 21	0	1

When the division is complete, connect all the remainders of the division. Starting from the bottom of the table we get 1.

Therefore, 1 in base 7 can to converted to base 21 as 1.