Jinsi ya kubadilisha decimal kuwa binary
- Andika nambari kwenye sehemu ya "Decimal (msingi 10)".
- Tazama matokeo kwenye "Binary (msingi 2)", yameangaziwa.
- Pia unapata oktali na heksadesimali ya nambari ileile.
- Bofya Nakili ili kuchukua matokeo.
Mbinu na mfano
Gawanya nambari kwa 2 tena na tena na uandike salio, kisha uzisome kutoka chini kwenda juu. Kwa mfano, 13 ÷ 2 = 6 salio 1; 6 ÷ 2 = 3 salio 0; 3 ÷ 2 = 1 salio 1; 1 ÷ 2 = 0 salio 1. Zisome kinyumenyume: 1101.
Kwa biti 8 unaweza kuwakilisha nambari 0 hadi 255. 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
- Nambari kamili chanya tu ndizo hubadilishwa.
- Hakuna kikomo cha ukubwa: nambari za usahihi usio na kikomo hutumika.
- Ukihitaji biti 8 zisizobadilika, jaza sifuri upande wa kushoto: 13 ni 00001101.
Maswali yanayoulizwa mara kwa mara
Ninabadilishaje 13 kuwa binary?
Gawanya kwa 2: salio zikisomwa kutoka chini kwenda juu hutoa 1101.
255 ni nini kwa binary?
11111111, moja nane.
Naweza kubadilisha nambari kubwa sana?
Ndiyo, hakuna kikomo cha ukubwa.
Je, data yangu inatumwa kwa seva?
Hapana. Ubadilishaji hufanyika kwenye kivinjari chako.