Sum of consecutive number of cells that have same values in a row

I have around 1500 rows such as shown below. I want to sum the 1s that appear consecutively in this row.

0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0

As can be seen, the value 1 appears consecutively 2 times then 4 times and then finally 2 times. So, the output should be 2+4+2=8


I have came close the solution by using

Formula:

FREQUENCY(IF(A5:Q5>0,COLUMN(A5:Q5)),IF(A5:Q5=0,COLUMN(A5:Q5)))

. Now, the only part left is conditional sum on this frequency formula array where the value is greater than 1.

Simple sum on this frequency array i.e.

Formula:

SUM(FREQUENCY(IF(A5:Q5>0,COLUMN(A5:Q5)),IF(A5:Q5=0,COLUMN(A5:Q5))))

gives me 10 as it takes into accout the two non-consecutive 1s in the row as well.

Thanks.