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in a floating-point representation, the mantissa represents the significant digits of the number in base-10. in the given example fl10(2.75873), the number is already represented in base-10.

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Final answer:

In a floating-point representation, the mantissa represents the significant digits of the number in base-10. The given example fl10(2.75873) already represents the number in base-10.

Step-by-step explanation:

In a floating-point representation, the mantissa represents the significant digits of the number in base-10. The mantissa is essentially the number itself, without any leading or trailing zeros. It indicates the precision of the number and is often normalized to have a single non-zero digit before the decimal point.

For example, in the given example fl10(2.75873), the number 2.75873 is already represented in base-10. The mantissa in this case is 2.75873, while the exponent (fl10) indicates the position of the decimal point.

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