Question 16.10: Convert 0.65 into its binary fraction....
Convert 0.65 into its binary fraction.
Step-by-Step
\begin{array}{llll} & & \text { Fractional pat } & \text { Integer part } \\ 0.65 \times 2 & =1.3 & 0.3 & 1 \\ 0.3 \times 2 & =0.6 & 0.6 & 0 \\ 0.6 \times 2 & =1.6 & 0.2 & 1 \\ 0.2 \times 2 & =0.4 & 0.4 & 0 \\ 0.4 \times 2 & =0.8 & 0.8 & 0 \\ 0.8 \times 2 & =1.6 & 0.6 & 1 \\ 0.6 \times 2 & =1.2 & 0.2 & 1 \end{array}
In the last step we get back 0.2 as the fractional part. To get the approximate result we can terminate the process at this stage. Thus, the approximate binary fraction is 0.1010011.
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