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The integer n = 3,510,593 has hexadecimal representation 0x00359141 (check this with your d2h program), while the double precision, floating-point number 3510593.0 has hexadecimal representation 0x414ac8a080000000. Derive this floating-point representation and explain the correlation between the bits of the integer and floating-point representations.
Here is a recommended procedure:
1. Write the binary representation of n. (Do you want to start from decimal 3510593 or hexadecimal 359141?)
2. Insert a decimal (binary) point, and write n as 1.xxx ... x ´ 2E
3. Write (E + BIAS) in binary. (What is BIAS for a double?)
4. Assemble the floating point representation of (double)n from the data you have collected. How long is the longest run of matching bits in your answers to steps 1 and 4?
Longest match is _______ bits.
More information about floating-point formats can be found in Section 2.4.2 of the text and the handout binfloat.pdf in the Piazza "General Resources" section.
find the radius of curvature at the point (3,3) at a point x3+xy2-6y2=0?
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