The decimal equivalent of 11100 is ____

This question was previously asked in
LPSC (ISRO) Technician B (Electronic Mechanic): Previous Year Paper (Held on 4 March 2018)
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  1. 23
  2. 31
  3. 27
  4. 28

Answer (Detailed Solution Below)

Option 4 : 28
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Detailed Solution

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Concept:

Binary to Decimal conversion:

For Example, to convert 10011011 into decimal the following process must be followed.
F1 Vinanti Engineering 11.05.23 D1
Calculation:

  • Here, we have to find the decimal equivalent of the binary number (11100)2 
  • 11100 = 20 × 0 + 21 × 0 + 22 × 1 + 23 × 1 + 24 × 1 = 0 + 0 + 4 + 8 + 16 = 28
  • So, the decimal equivalent of 11100 is 28
  • i.e (11100)2 = (28)10
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