Fast modular exponentiation algorithm calculator. Modular Exponentiation (or power modulo) is the result of the calculus a^b mod n. 3. Instead of first going through the repeated squaring and then multiplying the needed powers we combine the two steps in one loop. It uses a fast modular exponentiation algorithm to handle large numbers efficiently. The same article describes a version of this algorithm, which processes the binary digits from most significant to less significant one (from left to right). Jun 6, 2025 ยท The Fast Modular Exponentiation Calculator helps users find large power results under modular constraints without consuming heavy resources. 7 and 11 3. Space Complexity: O (log exp) -ary method: In this algorithm we will be expanding the exponent in base 2 k 2k (k>=1), which is somehow similar to above method except we are not using recursion this Fast Exponentiation Algorithm An application of all of this modular arithmetic Amazon chooses random 512-bit (or 1024-bit) prime numbers an exponent (often about 60,000). Modular exponentiation is the operation of finding the remainder when a base number is raised to an exponent, then divided by a modulus. Just type in the base number, exponent and modulo, and click Calculate. osd1 le98e ddhc ylgfic kwx 7mr jx9 4ji6qe 5ttuto dvz