Floating Point Arithmetic

GPTKB entity

Statements (51)
Predicate Object
gptkbp:instanceOf computational method
gptkbp:contrastsWith integer arithmetic
fixed-point arithmetic
gptkbp:dealsWith approximate representation of real numbers
gptkbp:enables gptkb:machine_learning
scientific computing
engineering simulations
financial calculations
graphics processing
gptkbp:hasComponent gptkb:foundation
sign bit
exponent
mantissa
gptkbp:hasFeature IEEE 754 double precision
IEEE 754 half precision
IEEE 754 single precision
https://www.w3.org/2000/01/rdf-schema#label Floating Point Arithmetic
gptkbp:implementedIn gptkb:personal_computer
gptkb:software
gptkbp:limitation NaN (Not a Number)
infinity representation
subnormal numbers
catastrophic cancellation
loss of significance
denormal numbers
finite precision
implementation differences
machine epsilon
non-associativity
non-commutativity
non-distributivity
not all real numbers can be represented exactly
platform dependence
representation error
round-off error
gptkbp:operator gptkb:division
addition
multiplication
subtraction
square root
gptkbp:standardizedBy gptkb:IEEE_754
gptkbp:subject overflow
underflow
cancellation
rounding errors
associativity loss
precision loss
gptkbp:usedIn computer science
numerical analysis
gptkbp:bfsParent gptkb:Computer_Arithmetic_Unit
gptkbp:bfsLayer 7