Convert the fractional number 0.1011 to decimal. Choose the correct answer.

2023

Convert the fractional number 0.1011 to decimal. Choose the correct answer.

  1. A.

    6875

  2. B.

    0.6875

  3. C.

    0.6900

  4. D.

    6900

  5. E.

    Question not attempted

Attempted by 192 students.

Show answer & explanation

Correct answer: B

Explanation for correct answer:

The binary fractional number is (0.1011)₂.

Using place values after the decimal point:

0.10112​=1×2−1+0×2−2+1×2−3+1×2−4
=(1×1/2) ​+ 0 + (1×1/8) ​+( 1×1/16​)
=0.5+0+0.125+0.0625=0.6875

So, (0.1011)₂ = (0.6875)₁₀

Explore the full course: Up Lt Grade Assistant Teacher 2025