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.
Answer: B. 0.6875 — 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…
- A.
6875
- B.
0.6875
- C.
0.6900
- D.
6900
- E.
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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
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