Question 7.2: Converting a Decimal Fraction to Binary Convert 0.392_10 to ...

Converting a Decimal Fraction to Binary
Convert 0.39210 to its closest six-bit binary equivalent.

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The conversion is illustrated in Figure 7.5. The fractional part of the number is repeatedly multiplied by two. The whole part of each product is retained as a bit of the binary equivalent. We stop when the desired degree of precision has been reached. Thus, from the figure, we have

0.39210 ≅ 0.0110012

7.5

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