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 5
Answer
- a. 9.125
- b. 9.025
- c. 9.625
- d. 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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Input FormatThe first line of input consist of a Binary numberOutput FormatPrint the decimal equivalent for the given Binary number
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