Base 2 to base 7 conversion

Base 2 to base 7 converter lets you convert number system between base 2 to base 7 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 7 to base 2 conversion)

Result

How to convert 1 in base 2 to base 7?

1 _{base 2} = 1 _{base 7}

Calculation steps

To convert 1 in base 2 to base 7, take the following steps.

Convert 1 from base 2 to base 10.
Convert result of the previous step from base 10 to base 7.

Step 1: convert 1 from base 2 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 2ⁿ	Cumulative sum
0	1	1 x 2⁰	1

From the table above, it can be written as a conversion formula as:
(1 × 2⁰)

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

Step 2: convert from base 10 to base 7

Conversion from base 10 to base 7 can be done by dividing the number by 7 until the quotient is zero. The steps can be shown in the following table.

#	Number divides 7	Quotient	Remaining
1	1 divides 7	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 2 can to converted to base 7 as 1.