Question: Please show work. Problem from an Algorithms class. = Suppose that X and Y are two binary numbers of size n. We saw that X

Please show work. Problem from an Algorithms class.

Please show work. Problem from an Algorithms class. = Suppose that X

= Suppose that X and Y are two binary numbers of size n. We saw that X and Y can be written as: X= 2n/2XL + XR and Y= 2n/2XL + YR So XY = ( 2n/2XL + XR) ( 21/2X_ + YR) 2nXLYL + 2n/2 XLYR + 2n/2 XRYL + XRYR = 21X_YL + 21/2(X_YR + XRYL ) + XRYR It seems as though we need 4 multiplications to compute XY. Show that only 3 multiplications are needed to compute XY. =

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