Write the Right to Left binary exponentiation algorithm. Demonstrate the use of this algorithm to compute the value of 523. Show all steps of the computation. Explain the worst-case complexity of this algorithm.
Binary exponentiation is an efficient method to compute large powers of a number by reducing the number of multiplications using the binary representation of the exponent. The Right to Left binary exponentiation algorithm processes the bits of the exponent starting from the least significant bit and moves towards the most significant bit. It repeatedly squares the base and multiplies it to the result whenever the current bit of the exponent is 1. The Right to Left binary exponentiation algorithm can be written as follows: Algorithm RightToLeftBinaryExponentiation(a, n) Input: Base a, non-negative integer exponent n Output: Value _______ _______ ____ _____ _______ __________ __________ ____.
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