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round A round function. Unlike javascript round(), this implements round half away from zero ("commercial rounding"). It takes an optional second argument to say how many decimal digits to rount to. e.g. round( 3.125, 2 ) = 3.13, round( -3.125, 2 ) = -3.13. xor Logical exclusive or. Can only take 2 arguments, always return 1 or 0.
In the example from "Double rounding" section, rounding 9.46 to one decimal gives 9.4, which rounding to integer in turn gives 9. With binary arithmetic, this rounding is also called "round to odd" (not to be confused with "round half to odd"). For example, when rounding to 1/4 (0.01 in binary), x = 2.0 ⇒ result is 2 (10.00 in binary)
In computing, a roundoff error, [1] also called rounding error, [2] is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. [3]
For example, the decimal number 123456789 cannot be exactly represented if only eight decimal digits of precision are available (it would be rounded to one of the two straddling representable values, 12345678 × 10 1 or 12345679 × 10 1), the same applies to non-terminating digits (. 5 to be rounded to either .55555555 or .55555556).
For example, for Google TPU, the rounding scheme in the conversion is round-to-nearest-even; [17] ARM uses the non-IEEE Round-to-Odd mode; [18] for NVIDIA, it supports converting float number to bfloat16 precision in round-to-nearest-even mode. [19] From bfloat16 to binary32.
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Here we start with 0 in single precision (binary32) and repeatedly add 1 until the operation does not change the value. Since the significand for a single-precision number contains 24 bits, the first integer that is not exactly representable is 2 24 +1, and this value rounds to 2 24 in round to nearest, ties to even.
DAMASCUS/LATAKIA, Syria (Reuters) -Syrian Christians attended regular Sunday services for the first time since the dramatic overthrow of President Bashar al-Assad a week ago, in an early test of ...