any bit in a binary sum - general formula ?

Hello,

I am looking for a general formula witch could produce the value of the
given nth bit of a sum of 0 and 1.

example:
each xi is equal to 0 or equal to 1.
sum(x1, .., xn) / bit0 = x1 XOR x2 XOR x3 XOR .... XOR xn
sum(x1,x2) / bit 1 = x1 AND x2.

sum( x1,...,xn) / bit Y = ?????

.

Relevant Pages

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