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Convert the binary number 1001.00102 to decimal.Question 5Answera.9.125b.9.025c.9.625d.9.25

Question

Convert the binary number 1001.00102 to decimal.Question 5Answera.9.125b.9.025c.9.625d.9.25

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Solution

To convert the binary number 1001.00102 to decimal, we need to understand the place values in binary numbers.

For the whole number part:

  • The rightmost digit represents 2^0, the next one represents 2^1, then 2^2, and so on.

For the fractional part:

  • The first digit after the point represents 2^-1, the next one represents 2^-2, and so on.

Now, let's convert:

Whole number part:

  • 1*(2^3) + 0*(2^2) + 0*(2^1) + 1*(2^0) = 8 + 0 + 0 + 1 = 9

Fractional part:

  • 0*(2^-1) + 0*(2^-2) + 1*(2^-3) = 0 + 0 + 0.125 = 0.125

So, the decimal equivalent of 1001.00102 is 9.125. Therefore, the answer is a. 9.125.

This problem has been solved

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