Convert the decimal number 13.3125 into its binary equivalent.

Options

  • A. 1101.0011
  • B. 1101.0101
  • C. 1011.0101
  • D. 1110.0101
  • E. None of the above

Correct Answer (Detailed Explanation is Below)

B. 1101.0101

Detailed Explanation

Explanation:
13₁₀ = 1101₂.
For the fractional part: 0.3125×2 = 0.625 (0); 0.625×2 = 1.25 (1); 0.25×2 = 0.5 (0); 0.5×2 = 1.0 (1).
Thus, 0.3125₁₀ = 0.0101₂.
Final answer: 1101.0101₂.