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RSA using Extended Euclidean and Modular Arithmetic

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May 1, 2026
13:59

RSA Algorithm Explained Simply: Key Generation, Modular Arithmetic, and Extended Euclidean Algorithm Description: Ever wonder how your internet traffic stays secure? In this video, we break down the RSA encryption algorithm from scratch! We walk through the entire key generation process using modular arithmetic and show you exactly how to compute the private key (d) using the Extended Euclidean Algorithm. By the end of this tutorial, you'll understand: How to select primes (p) and (q) and calculate (n) and (phi(n)). The role of the encryption exponent (e). How to find the modular inverse using the Extended Euclidean Algorithm (step-by-step example) How public and private keys work together for secure communication. Introduction to RSA Key Generation: Choosing Primes Understanding Modular Arithmetic The Extended Euclidean Algorithm (Back Substitution) Computing the Private Key ((d)) Encryption & Decryption Example

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RSA using Extended Euclidean and Modular Arithmetic | NatokHD