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I have to show the following properties of the Hamming weight for binary words x and y of equal lenght:

a)w(x+y)=w(x)+w(y)-2w(x*y)

b)w(x+y)>=w(x)-w(y)

c) For w(y) even, w(x+y) is even iff w(x) is even

d) For w(y) odd, w(x+y) is odd iff w(x) is even

can anybody help me,

thanks

lenti

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# Homework Help: Show the following properties of Hamming weight

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