MATLAB double addition format long

2022 11 3
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更新时间：2022 11 3
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Why does the below addition show wrong output when i use the format long option ?

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Stephen23
Stephen23 2022-11-3
编辑：Stephen23 2022-11-3
Ran in:
Ran in:
"Why does the below addition show wrong output when i use the format long option ?"
Why do you think that it is a "wrong output" ?
Can you show us any double floating point number that is closer to the value 14.2?
format hex
14.2
ans =
402c666666666666
format long
14.2
ans =
14.199999999999999
N = hex2num({'402c666666666665','402c666666666666','402c666666666667'})
N = 3×1
14.199999999999998 14.199999999999999 14.200000000000001
fprintf('%.50f\n',N)
14.19999999999999751310042483964934945106506347656250 14.19999999999999928945726423989981412887573242187500 14.20000000000000106581410364015027880668640136718750

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VBBV
VBBV 2022-11-3
Ran in:

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Ran in:
format long
x = 14.1 %
x =
14.100000000000000
x = 0.1
x =
0.100000000000000
x = 14.1 + 0.1 % when you include + operator
x =
14.199999999999999
When a mathematical operator /computation is used between any two numbers, Matlab uses its floating point arithmetic precision to compute precisely, Notice the difference in outputs when individual numbers are present without operators !

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