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Binary exponentiation (also known as exponentiation by squaring) is an efficient algorithm for computing large powers. Instead of directly multiplying the base repeatedly, it breaks down the exponentiation process using binary representations, allowing the computation to be completed in \( O(\log n) \) time complexity. ### Right-to-Left Binary Exponentiation Algorithm The algorithm works by repeatedly squaring the base and reducing the exponent by half, checking the bits of the exponent from right to left. #### Algorithm Steps: 1. Initialize: - \( result = 1 \) - \( base = ____ ______ __________ __________ ______ _______ ___ ________.
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