You can not use the definition Hermitian inner product to solve this problem.

You need to use the definition of weight.

We need to generalize the equation.

1-Define the product, x*y , of two binary vectors of the same length to be the vector whose ith component is the product of the ith components of x and y.
Show that wt (x +y ) =wt (x ) +wt (y )- 2wt (x*y ).

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