Base 8 to base 2 conversion

Base 8 to base 2 converter lets you convert number system between base 8 to base 2 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 2 to base 8 conversion)

Result

How to convert 1 in base 8 to base 2?

1 _{base 8} = 1 _{base 2}

Calculation steps

To convert 1 in base 8 to base 2, take the following steps.

Convert 1 from base 8 to base 10.
Convert result of the previous step from base 10 to base 2.

Step 1: convert 1 from base 8 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 8ⁿ	Cumulative sum
0	1	1 x 8⁰	1

From the table above, it can be written as a conversion formula as:
(1 × 8⁰)

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

Step 2: convert from base 10 to base 2

Conversion from base 10 to base 2 can be done by dividing the number by 2 until the quotient is zero. The steps can be shown in the following table.

#	Number divides 2	Quotient	Remaining
1	1 divides 2	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 8 can to converted to base 2 as 1.