Convert the binary number 1011.1101 to itsdecimal equivalent. Which of the following isthe correct decimal value?

Asked In: BPSC TRE 3.0

Options

  • A. 11.75
  • B. 12.125
  • C. 13.5
  • D. More than one of the above
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

E. None of the above

Detailed Explanation

Explanation:
1011.1101₂ = 1×8 + 0×4 + 1×2 + 1×1 + 1×1/2 + 1×1/4 + 0×1/8 + 1×1/16.
= 8 + 2 + 1 + 0.5 + 0.25 + 0.0625 = 11.8125.
Since this value is not among options A, B or C, the correct answer is None of the above (E).