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2024-09-11 09:06:43

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Isaac Shoebottom 2024-09-11 09:06:43 -03:00
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UNB/Year 5/Semester 1/CS3113/In class notes.md
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@ -36,4 +36,15 @@ Truncation types
**Chopping**: Omit the numbers that we don't want, looking to the first bit that we want to erase **Chopping**: Omit the numbers that we don't want, looking to the first bit that we want to erase
**Rounding**: We should take care about the first digit that we want to omit and adjust the 52nd bit **Rounding**: We should take care about the first digit that we want to omit and adjust the 52nd bit
**Machine Epsilon**: Difference between the smallest floating point number greater than 1 and 1, ie the smallest number that when added to 1, will be different than 1 **Machine Epsilon**: Difference between the smallest floating point number greater than 1 and 1, i.e. the smallest number that when added to 1, will be different than 1
IEEE rounding to nearest role:
1. If we have zero in the 53rd bit, we will round down
2. If we have one as the 53rd bit, we will round up
1. If the 52nd bit is one we will round up
2. If the 52nd bit is zero will round down
Convert a real number to a floating point number:
1. Decimal to binary number
2. Justify step: Shift the radix to the right of the left most one, compensate with the exponent. 100.1 -> 1.0001 x_2^3
3. We do it with respect to p.A d.p 52 numbers ??? I think she means IEEE rounding