Het decimale getal is gelijk aan de som van binaire cijfers (d n ) maal hun macht van 2 (2 n ):
decimaal = d 0 × 2 0 + d 1 × 2 1 + d 2 × 2 2 + ...
Zoek de decimale waarde van 111001 2 :
| binair getal: | 1 | 1 | 1 | 0 | 0 | 1 |
|---|---|---|---|---|---|---|
| kracht van 2: | 2 5 | 2 4 | 2 3 | 2 2 | 2 1 | 2 0 |
111001 2 = 1⋅2 5 + 1⋅2 4 + 1⋅2 3 + 0⋅2 2 + 0⋅2 1 + 1⋅2 0 = 57 10
Zoek de decimale waarde van 100011 2 :
| binair getal: | 1 | 0 | 0 | 0 | 1 | 1 |
|---|---|---|---|---|---|---|
| kracht van 2: | 2 5 | 2 4 | 2 3 | 2 2 | 2 1 | 2 0 |
100011 2 = 1⋅2 5 + 0⋅2 4 + 0⋅2 3 + 0⋅2 2 + 1⋅2 1 + 1⋅2 0 = 35 10
Binair naar decimaal omzetter ►
| Binair | Decimale |
|---|---|
| 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 |
| 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 |
| 1000000 | 64 |
| 10000000 | 128 |
| 100000000 | 256 |
Hoe decimaal naar binair te converteren ►