What is the main function of hash functions in programming and data storage systems?

The main function of hash functions in programming and data storage systems is to transform input data of arbitrary size into a fixed-size hash code (hash value). This value is used for:

• Fast data search and comparison (e.g., in hash tables).
• Data integrity verification (checksums).
• Cryptographic purposes (encryption, digital signatures).

In data storage systems, hash functions help efficiently index and locate records without the need for full traversal.

Example: In Python's dictionary (dict), keys are stored using a hash function, which provides quick access to values by key.