Convert the binary number 1001.1001 into its decimal equivalent.

Options

  • A. 9.25
  • B. 9.5
  • C. 9.5625
  • D. 9.625
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

C. 9.5625

Detailed Explanation

Explanation:
1001.1001₂ = 1×8 + 0×4 + 0×2 + 1×1 + 1×1/2 + 0×1/4 + 0×1/8 + 1×1/16.
= 8 + 1 + 0.5 + 0.0625 = 9.5625.