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6. Consider the binary exponentiation algorithm: x and e are the inputs such that x is a real number; e is a positive, nonzero n-bit

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6. Consider the binary exponentiation algorithm: x and e are the inputs such that x is a real number; e is a positive, nonzero n-bit integer; y is the output such that y = xe. y=1 for i=n - 1 down to O y = y.y if e = 1 then y=y.x return y Give the best-case, average-case, and worst-case analysis of the algorithm in terms of the number of multiplications. Note: count squarings as multiplications

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