In binary representation, what is the decimal equivalent of 1011?

The binary number system uses only two digits: 0 and 1. Each digit in a binary number represents a power of 2, starting from the rightmost digit (which is the least significant bit). To convert a binary number to a decimal number, we multiply each binary digit by 2 raised to the power of its position (starting from 0), and then we add the results together.

Let’s convert the binary number 1011 to decimal:

Starting from the right:

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  1 × 2⁰ = 1

  
  


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  1 × 2¹ = 2

  
  


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  0 × 2² = 0

  
  


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  1 × 2³ = 8

  
  

  Now, add all these values:
  8 + 0 + 2 + 1 = 11

  
  

  So, the decimal equivalent of binary 1011 is 11.