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Exercises 16.2 Programming Exercise

1.

Develop an algorithm to convert fractional decimal numbers to binary.

Hint

Multiply both sides of the fractional part of Equation (16.1.1) by \(2\text{.}\)

Solution

Refer to Equation (16.1.1).

  • \(\displaystyle i = -1\)

  • While (\(F \ne 0\)) AND (want-more-bits)

    • \(\displaystyle F = 2 \times F\)

    • \(\displaystyle d_{i} = int(F)\)

    • \(\displaystyle F = F - d_{i}\)

    • \(\displaystyle i = i - 1\)