What is the decimal equivalent of the binary number 110.101?

Options

  • A. 6.25
  • B. 6.5
  • C. 6.625
  • D. 7.625
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

C. 6.625

Detailed Explanation

Explanation:
110.101₂ = 1×4 + 1×2 + 0×1 + 1×1/2 + 0×1/4 + 1×1/8.
= 4 + 2 + 0.5 + 0.125 = 6.625.