बाइनरी संख्या 1001110 का डेसीमल समतुल्य है:

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  1. 86
  2. 74
  3. 78
  4. 82

Answer (Detailed Solution Below)

Option 3 : 78
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बाइनरी को डेसीमल में बदलें:-

  • अंकों के साथ बाइनरी संख्या के लिए:
  • dn-1 ... d3 d2 d1 d0
  • डेसीमल संख्या बाइनरी अंकों (dn) के गुणनफल के 2 (2n) गुणन के योग के बराबर होती है:
  • डेसीमल = d0×20 + d1×21 + d2×22 + ...

 

गणना:

बाइनरी संख्या 1001110 का डेसीमल समतुल्य :-
=  1 × 2+ 0 x 25 + 0 x 2+ 1 x 2+ 1 x 22 + 1 x 2+ 0 x 20

= 64 + 0 + 0 + 8 + 4 + 2 + 0 = 78​

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