Jinsi ya kubadilisha binary kuwa decimal
- Andika nambari ya binary kwenye sehemu ya "Binary (msingi 2)".
- Tazama matokeo kwenye "Decimal (msingi 10)", yameangaziwa.
- Pia unapata oktali na heksadesimali ya nambari ileile.
- Bofya Nakili ili kuchukua matokeo.
Mbinu na mfano
Kila tarakimu ya binary ina thamani ya nguvu ya 2, kutoka kulia kwenda kushoto: 1, 2, 4, 8, 16… Jumlisha nguvu popote palipo na 1. Kwa mfano, 1101 = 8 + 4 + 0 + 1 = 13.
Mfano mwingine: 11111111 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255, thamani kubwa zaidi inayotoshea kwenye biti 8 (baiti moja). Jedwali lililo hapa chini linaonyesha nambari za kwanza katika misingi yote minne.
| Decimal (msingi 10) | Binary (msingi 2) | Oktali (msingi 8) | Heksadesimali (msingi 16) |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 2 | 10 | 2 | 2 |
| 3 | 11 | 3 | 3 |
| 4 | 100 | 4 | 4 |
| 5 | 101 | 5 | 5 |
| 6 | 110 | 6 | 6 |
| 7 | 111 | 7 | 7 |
| 8 | 1000 | 10 | 8 |
| 9 | 1001 | 11 | 9 |
| 10 | 1010 | 12 | A |
| 11 | 1011 | 13 | B |
| 12 | 1100 | 14 | C |
| 13 | 1101 | 15 | D |
| 14 | 1110 | 16 | E |
| 15 | 1111 | 17 | F |
| 16 | 10000 | 20 | 10 |
| 17 | 10001 | 21 | 11 |
| 18 | 10010 | 22 | 12 |
| 19 | 10011 | 23 | 13 |
| 20 | 10100 | 24 | 14 |
| 21 | 10101 | 25 | 15 |
| 22 | 10110 | 26 | 16 |
| 23 | 10111 | 27 | 17 |
| 24 | 11000 | 30 | 18 |
| 25 | 11001 | 31 | 19 |
| 26 | 11010 | 32 | 1A |
| 27 | 11011 | 33 | 1B |
| 28 | 11100 | 34 | 1C |
| 29 | 11101 | 35 | 1D |
| 30 | 11110 | 36 | 1E |
| 31 | 11111 | 37 | 1F |
| 32 | 100000 | 40 | 20 |
| 40 | 101000 | 50 | 28 |
| 50 | 110010 | 62 | 32 |
| 64 | 1000000 | 100 | 40 |
| 100 | 1100100 | 144 | 64 |
| 127 | 1111111 | 177 | 7F |
| 128 | 10000000 | 200 | 80 |
| 200 | 11001000 | 310 | C8 |
| 255 | 11111111 | 377 | FF |
| 256 | 100000000 | 400 | 100 |
| 500 | 111110100 | 764 | 1F4 |
| 512 | 1000000000 | 1000 | 200 |
| 1000 | 1111101000 | 1750 | 3E8 |
| 1024 | 10000000000 | 2000 | 400 |
| 4096 | 1000000000000 | 10000 | 1000 |
| 65535 | 1111111111111111 | 177777 | FFFF |
Mambo ya kujua
- Binary hutumia tarakimu 0 na 1 tu; tarakimu nyingine yoyote huonyesha onyo.
- Hakuna kikomo cha ukubwa, lakini nambari kamili chanya tu ndizo hubadilishwa.
- Nafasi na mistari chini hupuuzwa, kwa hivyo unaweza kubandika 1111 0000.
Maswali yanayoulizwa mara kwa mara
Ninabadilishaje 1101 kutoka binary kuwa decimal?
Jumlisha nguvu za 2 popote palipo na 1: 8 + 4 + 1 = 13.
11111111 ni nini kwa decimal?
255, nambari kubwa zaidi ya biti 8.
Naweza kubadilisha nambari ndefu sana za binary?
Ndiyo, hakuna kikomo cha ukubwa.
Je, data yangu inatumwa kwa seva?
Hapana. Ubadilishaji hufanyika kwenye kivinjari chako.