Re: delay filter

i've a doubt now
A fir filter is a filter with a finite impulsive response, which satisfy
the requirement below:

h[n] = h[M-n]  0<=n<=M          FIR FILTER (TYPE I or II)
     = 0       elsewhere

So a fir filter is a symmetric filter

So h1[n]=[0 0 0 0 1] is'n a fir filter, but it gives to me a delay of 4
anyway.

Can i use this filter or i must use the fir filter [0 0 0 0 1 0 0 0 0]?

My only goal is to realize a filter which implement a pure delay. I think
that i can use the filter h1 (although it is NOT fir)

Am I right?