The decimal conversion of binary number (1010.011)_2 is:

2026

The decimal conversion of binary number (1010.011)_2 is:

  1. A.

    (10.395)10

  2. B.

    (10.375)10

  3. C.

    (11.395)10

  4. D.

    (11.375)10

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Correct answer: B

To convert the binary number (1010.011)₂ to decimal, calculate the integer and fractional parts separately. Integer part: 1010 = (1×8) + (0×4) + (1×2) + (0×1) = 10. Fractional part: .011 = (0×0.5) + (1×0.25) + (1×0.125) = 0.375. Total decimal value is 10 + 0.375 = 10.375.

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