What is the binary representation of the decimal fraction 0.375?

Options

  • A. 0.101
  • B. 0.011
  • C. 0.110
  • D. 0.111
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

B. 0.011

Detailed Explanation

Explanation:
Multiply the fraction repeatedly by 2:
0.375×2 = 0.75 (0); 0.75×2 = 1.5 (1); 0.5×2 = 1.0 (1).
Reading the integer parts gives 0.011₂.