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A binary number is represented by (c d c c d d c c c d d d)₂ , where c d . What is its decimal equivalent?

Options

  1. A1848
  2. B2048
  3. C2842
  4. D2872

Correct answer

D. 2872

Step-by-step solution

aligned & (c d c c d d c c c d d d)₂ & c d & c=1 and d=0 & no =(101100111000)₂ & decimal equivalent = & 2¹¹+2^9+2^8+2^5+2^4+2^3 & =2048+512+256+32+16+8 & =2872 aligned

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