Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time complexity of the algorithm in the worst case scenario. function mult(a, b) if b = 0: return 0 else if b is odd: return (mult (2a, b/2 )+a) else: return (mult (2a, b/2 ))

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and
y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time
complexity of the algorithm in the worst case scenario.
function mult (a, b)
if b = 0:
return 0
else if b is odd:
return (mult (2a, b/2 ) +a)
else:
return (mult (2a, b/2 ) )
Transcribed Image Text:Q2. The following algorithm returns the product of two numbers, a and b. The parameters x and y are natural numbers. First, prove the correctness of the algorithm. Then, analyze the time complexity of the algorithm in the worst case scenario. function mult (a, b) if b = 0: return 0 else if b is odd: return (mult (2a, b/2 ) +a) else: return (mult (2a, b/2 ) )
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