Mantissa and exponent
Components of floating point representation: mantissa (significant digits), exponent (scale). Together they represent numbers of wide range with fixed precision.
Formula
Number = mantissa × base^exponent
Real World
NASA's Mars Climate Orbiter calculations required floating point precision — the mantissa stored the significant digits of thrust values while the exponent scaled between tiny Newton-second measurements and massive orbital distances.
Exam Focus
Always state the role of BOTH mantissa (precision) and exponent (range) — marks are split across both components.
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