'date' and 'time' aren't really types in MATLAB, so it's not clear what you have. I'm guessing you have a cell array, the first column of which contains date strings, the second time strings, the third numbers. That's probably not what you want.
c = { ...
'01/02/1996' '10:00:00' 17.48
'01/03/1996' '10:30:00' 17.46
'01/04/1996' '11:00:00' 17.46
'01/05/1996' '11:30:00' 17.47
'01/06/1996' '12:00:00' 17.47
'01/07/1996' '12:30:00' 17.48
'01/08/1996' '13:00:00' 17.48
'01/09/1996' '13:30:00' 17.48
'01/10/1996' '14:00:00' 17.49
'01/11/1996' '14:30:00' 17.48
'01/12/1996' '15:00:00' 17.52
'01/13/1996' '15:30:00' 17.52};
DateTime = datetime(strcat(c(:,1),{' '},c(:,2)));
Value = cell2mat(c(:,3))
t = table(DateTime,Value)
t2 = t(~isweekend(t.DateTime),:)
From which I get
t2 =
DateTime Value
____________________ _____
02-Jan-1996 10:00:00 17.48
03-Jan-1996 10:30:00 17.46
04-Jan-1996 11:00:00 17.46
05-Jan-1996 11:30:00 17.47
08-Jan-1996 13:00:00 17.48
09-Jan-1996 13:30:00 17.48
10-Jan-1996 14:00:00 17.49
11-Jan-1996 14:30:00 17.48
12-Jan-1996 15:00:00 17.52
Holidays, you're on your own. They are different in every country. Make a list of them, use ismember to find them in t.DateTime.
