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Friday, 10 April 2026
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Express 10.011two in decimal.

Express 10.011two in decimal.
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  • A 1.625
  • B 2.375
  • C 6.75
  • D 6.375
  • E 2.75
Correct Answer: Option B
Explanation:
To convert the binary number \(10.011_2\) to decimal, follow these steps:

Integer Part:
The integer part is \(10_2\).

1. Convert Binary Integer Part to Decimal:
\[
10_2 = 1 \cdot 2^1 + 0 \cdot 2^0 = 2_{10}
\]

Fractional Part:
The fractional part is \(0.011_2\).

1. Convert Binary Fractional Part to Decimal:
\[
0.011_2 = 0 \cdot 2^{-1} + 1 \cdot 2^{-2} + 1 \cdot 2^{-3}
\]
\[
= 0 + \frac{1}{4} + \frac{1}{8}
\]
\[
= 0.25 + 0.125 = 0.375_{10}
\]

Combine Integer and Fractional Parts:
\[
10.011_2 = 2 + 0.375 = 2.375_{10}
\]


The decimal equivalent of \(10.011_2\) is 2.375.

The correct answer is B. 2.375.

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