MATLAB double addition format long

Why does the below addition show wrong output when i use the format long option ?

[Stephen23]

"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

Answer 1

[Davide Masiello]

I suggest reading the following thread

https://ch.mathworks.com/matlabcentral/answers/1838113-wrong-sum-50-0-01

Answer 2

[VBBV]

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 !