Base 2 to base 10 conversion
Base 2 to base 10 converter lets you convert number system between base 2 to base 10 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.
Result
How to convert 1 in base 2 to base 10?
Calculation steps
How toconvert 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
Therefore, 1 in base 2 can to converted to base 10 as 1.
Base 2 to base 10 conversions table
Here is a conversions table comparing the relationship between base 2 and base 10 by using 1 - 100 in base 10 as starting numbers.
| Base 2 | Base 10 |
|---|---|
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | 10 |
| 1011 | 11 |
| 1100 | 12 |
| 1101 | 13 |
| 1110 | 14 |
| 1111 | 15 |
| 10000 | 16 |
| 10001 | 17 |
| 10010 | 18 |
| 10011 | 19 |
| 10100 | 20 |
| 10101 | 21 |
| 10110 | 22 |
| 10111 | 23 |
| 11000 | 24 |
| 11001 | 25 |
| 11010 | 26 |
| 11011 | 27 |
| 11100 | 28 |
| 11101 | 29 |
| 11110 | 30 |
| 11111 | 31 |
| 100000 | 32 |
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