Binary to Decimal Converter Convert your data
How to convert binary to decimal
Conversion steps:
- Starting from the right we multiply each digit with 2X where X will start from 0 and will increase with each digit
- We calculate each result
- The result will be by adding all the results into one number.
Binary to decimal conversion table
| Binary (Base 2) | Decimal (Base 10) |
|---|---|
| 0 | 0 |
| 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 |
Example
Convert 11011100112 to decimal:
| Step | Digit 1 | Digit 2 | Digit 3 | Digit 4 | Digit 5 | Digit 6 | Digit 7 | Digit 8 | Digit 9 | Digit 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Step 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 |
| Step 2 | 29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 |
| Step 3 | 512 | 256 | 0 | 64 | 32 | 16 | 0 | 0 | 2 | 1 |
| Step 4 | 883 | |||||||||
11011100112 = 88310