What is the decimal value of the binary number 111.0011?

Options

  • A. 7.125
  • B. 7.1875
  • C. 7.25
  • D. 7.375
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

B. 7.1875

Detailed Explanation

Explanation:
111.0011₂ = 1×4 + 1×2 + 1×1 + 0×1/2 + 0×1/4 + 1×1/8 + 1×1/16.
= 4 + 2 + 1 + 0.125 + 0.0625 = 7.1875.