Binary to Decimal Conversion
**A binary-to-decimal converter can be found at the bottom of this page. Simply enter the number you wish to convert, and the converter code will also explain the conversion process.**
Binary-to-decimal, sometimes referred to as "base 2 to decimal," conversion follows the same steps as decimal to binary, except in reverse order. We begin by multiplying 0 x 2 and adding 1. We continue to multiply the numbers in the "results" column by 2, and adding the digits from left to right in our binary number.
Example 1: Convert 11101 from binary to decimal.
Operations | Result |
0 x 2 + 1 | 1 |
1 x 2 + 1 | 3 |
3 x 2 + 1 | 7 |
7 x 2 + 0 | 14 |
14 x 2 + 1 | 29 |
Therefore, 11101 in binary is 29 in decimal.
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