Floating-Point

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Sections

• 17-1 IEEE Format
• 17-2 Floating-Point To/From Integer Conversions
• 17-3 Comparing Floating-Point Numbers Using Integer Operations
• 17-4 An Approximate Reciprocal Square Root Routine
• 17-5 The Distribution of Leading Digits
• 17-6 Table of Miscellaneous Values

Problems

1. What numbers have the same representation, apart from trailing 0’s, in both single- and double-precision?

2. Is there a program similar to the approximate reciprocal square root routine for computing the approximate square root?

3. Is there a similar program for the approximate cube root of a nonnegative normal number?

4. Is there a similar program for the reciprocal square root of a double-precision floating-point number? Assume it is for a 64-bit machine, or at any rate that the long long, 64-bit integer, data type is available.