In modern avionics systems, ensuring the safety and reliability of hardware designs is paramount. Safety-critical components in aviation must meet stringent standards, as failures can have catastrophic consequences. Formal verification methods, including model checking, theorem proving, and equivalence checking, offer a mathematical approach to ensure that VLSI (Very Large-Scale Integration) designs meet their specifications without flaws. This paper explores formal verification methods applied to VLSI designs in avionics systems, discussing their role in adhering to certification standards, comparing different techniques, and providing real-world examples of their use in the aerospace industry.