Chombo cha kubadilisha fedha

0 bits

Enter a binary number (spaces are allowed for readability). Choose between unsigned and signed (two's complement) interpretation.

Bits:

0

Type:

Unsigned

Kuhusu zana hii

Kibadilishaji cha binary hadi desimali ni zana inayobadilisha nambari za binary kuwa sawa na desimali. Kila nambari ya binary inafasiriwa kama nambari ambayo haijatiwa saini au kama nambari iliyosainiwa kwa kutumia uwakilishi wa nyongeza mbili.

Jinsi inavyofanya kazi

  1. The input binary string is validated to ensure it contains only 0s and 1s (spaces are allowed for readability).
  2. The user can choose between unsigned and signed (two's complement) interpretation.
  3. For unsigned interpretation, each bit's value is calculated based on its position (2^position) and summed up.
  4. For signed interpretation (two's complement), if the leftmost bit is 1, the number is negative. The two's complement conversion is applied to determine the magnitude.
  5. Thamani ya decimal inayotokana inaonyeshwa.

Matumizi ya kawaida

  • Elimu ya Sayansi ya Kompyuta:Kuelewa jinsi nambari za binary zinavyofasiriwa kama maadili ya desimali kwenye kompyuta.
  • Elektroniki za Dijiti:Kubadilisha ishara za binary kutoka kwa maunzi kuwa maadili ya desimali yanayoweza kusomeka na binadamu.
  • Programming:Kutafsiri data ya binary inayosomwa kutoka kwa faili au soketi za mtandao kama nambari za desimali.
  • Uchambuzi wa Data:Kubadilisha data iliyosimbwa kwa binary kuwa umbizo la desimali kwa uchambuzi.
  • Cryptography:Kubadilisha funguo au maadili yaliyosimbwa kwa binary kuwa desimali kwa mahesabu ya kriptografia.

Misingi ya Mfumo wa Binary

Mfumo wa binary hutumia tarakimu mbili tu, 0 na 1, kuwakilisha nambari. Kila tarakimu katika nambari ya binary inaitwa kidogo. Nambari za binary zinaweza kutumika kuwakilisha nambari chanya na hasi kwa kutumia mbinu tofauti, kama vile zinazosaidia mbili kwa nambari hasi.

Mifano ya Ubadilishaji wa Binary hadi Desimali

Binary Desimali ambayo haijasainiwa Signed Decimal (Two's Complement)
0000 0 0
0001 1 1
0101 5 5
1000 8 -8
1111 15 -1
11111111 255 -1

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