We are interested in multiplication of natural numbers of n bits,x and [url removed, login to view] number can be represented by 2 natural numbers of n/2 bits from high-order bits & low-order [url removed, login to view] n=8 and x= 99,x can be represented by xH=6 and xL=[url removed, login to view] the product of x & y can be computed from 4 different products among xH, xL, yH, and [url removed, login to view] algorithm of this multiplication and implement it as a compact function in a [url removed, login to view] number of products of numbers of n/2 bits you have to compute can be reduced to 3 from 4 by considering the following [url removed, login to view] yL + xL yH = (xH + xL)( yH + yL) - xH yH ??" xL yL.
Give algorithm of this computation & implement it as a compact function in a [url removed, login to view] the justification. Use unsigned int type & start with n that is the size of unsigned int of machine. Do not use multiplication or division operator or the exponentiation function in your [url removed, login to view] functions should be in 1 [url removed, login to view] the 2 algorithms above & compare them. Use proper notation.
1) Complete and fully-functional working program(s) in executable form as well as complete source code of all work done.
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