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Assuming I have two binar arrays with 3 bits. Array A = 1,1,0 and Array B = 0,1,1. Now I want to perform bit-wise AND operation (or you can say multiplying) between A and B and then add the bits of the resultant array. For the above example the result will be: (1*0) + (1*1) + (0*1) = 1.

How can mathematical express this which will look good enough to put in a research paper?

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You cab define the bits of $A$ as $a_i$ then write $\sum_ia_ib_i$

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  • $\begingroup$ @ Ross Millikan yes, by adding "the sum and the product being taken with their usual meaning in boolean algebra". $\endgroup$
    – Jean Marie
    Feb 21 '16 at 22:15

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