Question: function multiply(x,y) Input: Two n-bit integers x and y, where y 0 Output: Their product if y = 0: return 0 z = multiply(x,by/2c) if

function multiply(x,y)

Input: Two n-bit integers x and y, where y 0

Output: Their product if y = 0: return 0

z = multiply(x,by/2c)

if y is even:

return 2z

else: return x + 2z

How long does the recursive multiplication algorithm take to multiply an n-bit number by an m-bit number? Justify your answer.

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