IEEE 754-1985 - Rounding Floating-point Numbers

Rounding Floating-point Numbers

The IEEE standard has four different rounding modes; the first is the default; the others are called directed roundings.

  • Round to Nearest – rounds to the nearest value; if the number falls midway it is rounded to the nearest value with an even (zero) least significant bit, which occurs 50% of the time (in IEEE 754-2008 this mode is called roundTiesToEven to distinguish it from another round-to-nearest mode)
  • Round toward 0 – directed rounding towards zero
  • Round toward +∞ – directed rounding towards positive infinity
  • Round toward −∞ – directed rounding towards negative infinity.

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