The decimal equivalent of a binary number 1001110 is: 

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

Answer (Detailed Solution Below)

Option 3 : 78
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Detailed Solution

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Convert binary to decimal :-

  • For binary number with n digits:
  • dn-1 ... d3 d2 d1 d0
  • The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
  • decimal = d0×20 + d1×21 + d2×22 + ...

 

Calculation:

Decimal equivalent of binary number 1001110 :-
=  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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