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
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.
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