This study examines the relationship between contemporary computer technology and Sanskrit, one of the oldest and most methodically organized languages in the world. We look at the ways that Sanskrit's complex semantic framework and exact grammatical rules may be used to improve machine learning, artificial intelligence, and natural language processing (NLP) methods. The paper examines current research discoveries, offers mathematical formulations that connect Sanskrit grammar with computational models, and talks about the consequences for computer science and linguistics. This study intends to show how Sanskrit's organized nature may be used to enhance modern computational applications, providing fresh insights into language processing and the advancement of artificial intelligence.