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mijail
Posts:
2
From:
Peru
Registered:
3/20/14


Compute binary multiplication without multiplying
Posted:
Mar 20, 2014 5:36 PM


Hi all.
As the tittle says, the problem is to find a way to compute the result of the multiplication of 2 binary variables without multiplying them.
I have 2 binary variables X and Y, such that the summation tables is:
X Y X+Y 0 0 0 0 1 1 1 0 1 1 1 2
The subtraction table is:
X Y XY 0 0 0 0 1 1 1 0 1 1 1 0
I want some way to compute their multiplication:
X Y X*Y 0 0 0 0 1 0 1 0 0 1 1 1
In order to achieve this, I can use summations, substractions, multiplication with constants and divisions by constants. The unique thing that I cannot do is to multiply the 2 variables directly. I was thinking hard how to solve the problem, but I cannot find the solution. Is possible to do something like that? or is it impossible?
Thanks for the answers!!



