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The decimal value 0.5 in IEEE single precision floating point representation has

1. fraction bits of 000...000 and exponent value of 0
2. fraction bits of 000...000 and exponent value of -1
3. fraction bits of 100...000 and exponent value of 0
4. no exact representation

Correct answer: fraction bits of 000...000 and exponent value of -1

Solution

In IEEE single precision, the value 0.5 is represented with a fraction (mantissa) of all zeros, as it is exactly 1/2, and an exponent of -1, which indicates the position of the binary point. This representation aligns with the format where the exponent is adjusted to reflect the normalized form of the number.

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