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In binary system the decimal number 0.3 can be expressed as

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In binary system the decimal number 0.3 can be expressed as
A. `(0.01001…..)_(2)`
B. `(0.10110……)_(2)`
C. `(0.11001…..)_(2)`
D. `(0.10101…..)_(2)`
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Correct Answer - A
Consider `0.3xx2=0.6xx2=1.2xx2`
Now, treated 1 as 0
So, `0.2xx2=0.4xx2=0.8xx2=1.6xx2`
Again, `1.6xx2=0.6xx2=1.2`
Thus,
image
Hence, `0.3=(0.01001-----)_(2)`.
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