How will (0.10101)2 be represented using normalised scientific notation?

2018

How will (0.10101)2 be represented using normalised scientific notation?

  1. A.

    0.010101 x 21

  2. B.

    0.10101 x 20

  3. C.

    1.0101 x 2-1

  4. D.

    10.101 x 2-2

Attempted by 98 students.

Show answer & explanation

Correct answer: C

To normalize the binary number (0.10101)₂, we must express it in the form 1.xxxx × 2ⁿ. Currently, the binary point is before the first non-zero digit. Shifting it one position to the right gives 1.0101. To maintain equality, we multiply by 2⁻¹. Thus, the normalized form is 1.0101 × 2⁻¹.

Explore the full course: Rssb Senior Computer Instructor