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Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4. Which one of the following corresponds to the product of these numbers (i.e., P × Q), represented in the IEEE-754 single precision format?

1. 0x404C2EF4
2. 0x405C2EF4
3. 0xC15C2EF4
4. 0xC14C2EF4

Correct answer: 0xC15C2EF4

Solution

0xC1800000 decodes to -16.0 and 0x3F5C2EF4 to about 0.86009; their product is -13.76146, whose IEEE-754 single-precision encoding is 0xC15C2EF4. The stored answer 0xC14C2EF4 (-12.76) is wrong; correct is 0xC15C2EF4.

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