Yadda ake canza binary zuwa decimal
Don lambar binary tare da n lambobi:
d n-1 ... d 3 d 2 d 1 d 0
Lamba decimal yayi daidai da jimlar lambobi na binaryar (d n ) lokutan ƙarfinsu na 2 (2 n ):
decimal = d 0 ×2 0 + d 1 ×2 1 + d 2 ×2 2 + ...
Misalin Binary zuwa Decimal
Nemo ƙimar goma na 100010 2 :
| lambar binary: | 1 | 0 | 0 | 0 | 1 | 0 |
|---|---|---|---|---|---|---|
| ikon 2: | 25 _ | 24 _ | 23 _ | 22 _ | 21 _ | 20 _ |
100010 2 = 1⋅2 5 +0⋅2 4 +0⋅2 3 +0⋅2 2 +1⋅2 1 +0⋅2 0 = 34 10
Tsarin Decimal
Tsarin adadi na goma shine mafi yawan amfani da tsarin daidaitaccen tsarin rayuwar yau da kullun. Yana amfani da lamba 10 azaman tushe (radix). Saboda haka, yana da alamomi 10: Lambobi daga 0 zuwa 9; wato 0, 1, 2, 3, 4, 5, 6, 7, 8 da 9.
Tsarin binary
Tsarin lamba na binary yana amfani da lamba 2 azaman tushe (radix). A matsayin tsarin lamba-2, ya ƙunshi lambobi biyu kawai: 0 da 1.
Binary zuwa Teburin jujjuyawa na goma
| Lambar Binary | Lambar Decimal | Lambar Hex |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 10 | 2 | 2 |
| 11 | 3 | 3 |
| 100 | 4 | 4 |
| 101 | 5 | 5 |
| 110 | 6 | 6 |
| 111 | 7 | 7 |
| 1000 | 8 | 8 |
| 1001 | 9 | 9 |
| 1010 | 10 | A |
| 1011 | 11 | B |
| 1100 | 12 | C |
| 1101 | 13 | D |
| 1110 | 14 | E |
| 1111 | 15 | F |
| 10000 | 16 | 10 |
| 10001 | 17 | 11 |
| 10010 | 18 | 12 |
| 10011 | 19 | 13 |
| 10100 | 20 | 14 |
| 10101 | 21 | 15 |
| 10110 | 22 | 16 |
| 10111 | 23 | 17 |
| 11000 | 24 | 18 |
| 11001 | 25 | 19 |
| 11010 | 26 | 1 A |
| 11011 | 27 | 1B |
| 11100 | 28 | 1C |
| 11101 | 29 | 1D |
| 11110 | 30 | 1E |
| 11111 | 31 | 1F |
| 100000 | 32 | 20 |
| 1000000 | 64 | 40 |
| 10000000 | 128 | 80 |
| 100000000 | 256 | 100 |
