Given x = 10 0101(two) and y = 11 0110(two) in two’s complementbinary r epresent

Question

Given x = 10 0101(two) and y = 11 0110(two) intwo’s complementbinary representation, perform showing allwork

a.    x × y using standard shift and addmethod.
b. using Booth’s algorithm
which method is more efficient in this case?

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I keep trying to convertthem to decimal and multiplying them and then convert them to checkthe answers but they don't match. Also for the shift and add i gota different answer) Please help! Thanks

Given data:

X=100101 (what would this number be indecimal?) I get this to be-27

Y=110110 (what would this number be indecimal?) I get this to be-10

a) x × y using standard shiftand add method:

A standard approach that might be taken by a novice to performmultiplication is to "shift and add",That is, for each column inthe multiplier, shift the multiplicand the appropriate number ofcolumns and multiply it by the value of the digit in that column ofthe multiplier, to obtain a partial product. The partial productsare then added to obtain the final result:.

Explanation / Answer

Given x = 10 0101(two) and y = 11 0110(two) in two’s complementbinary r epresent

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