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Count Consecutive Numbers....



Hi One and All,
This articles demonstrates that how can many times a number has repeated consecutively. So here is the explanation:-
The Array formula I have used is this, which has been dragged down..
=IF(AND(A4<>0,A5=0,A6=0),MATCH(FALSE,A5:A$16=0,0)-1,"") ----(1)
First I will explain you the And() part of the formula…
i.e.
AND(A4<>0,A5=0,A6=0)

Actually it is a trigger, that tells excel when to throw the count as a result..
like this..

when A4<>0
A5=0 then count zeros otherwise show ""
A6=0
I think, One conclusion can be easily drawn that when First cell(i.e. A4) is not equal to zero, AND Second cell is equal to zero AND third cell is equal to zero.. (means there are two consecutive zeros) then count the zeros other wise show nothing ("")
This is to avoid  the excel regenerating the result. As you can see it has generated the result only two times.

The purpose of it will be more evident when we will try to understand the next part i.e. Match()
i.e.
MATCH(FALSE,A5:A$16=0,0)-1
Actually it performs when the AND condition fulfills and one more thing you can see is that in each formula above, the bold part in Match formula i.e.MATCH(FALSE,A5:A$16=0,0)-1 is always equal to the 2nd Condition in AND formula i.e. A5=0

Actually when AND condition fulfills, Match function finds the row no. of the very next Non Zero value in the range starting from the first cell containing zero i.e. second condition cell in AND formula.

here is the explanation
MATCH(FALSE,A5:A$16=0,0)-1 will result in 
MATCH(FALSE,{TRUE;TRUE;TRUE;FALSE;FALSE;FALSE;TRUE;TRUE;TRUE;TRUE;FALSE;FALSE},0)-1
which will result in 4 and  4 - 1 = 3

The same formula can be used to count other strings and numbers as well by replacing zero.

For more clarification, I think FORMULA AUDITING is the best tool..

Regards,

Excel file can be downloaded here..

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