How will (0.10101)2 be represented using normalised scientific notation?
2018
How will (0.10101)2 be represented using normalised scientific notation?
- A.
0.010101 x 21
- B.
0.10101 x 20
- C.
1.0101 x 2-1
- D.
10.101 x 2-2
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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.