Hash functions are important cryptographic primitives widely used in protocols and provides certain security properties

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Hash functions are important cryptographic primitives widely used in protocols and provides certain security properties which are essential for developing application including digital signatures, password storage, authentication, message integrity and others. The popular hash functions been used are MD-5 and SHA-1 designed by National Security Agency (NSA). Hash functions computes a digest of a message which is a short, fixed length bitstring for a given message and is a unique representation of a particular message. In this regard, provide a detailed report of the following aspect of the hash functions.
a) Examine important properties of hash functions.
b) Evaluate the applications of cryptographic hash functions.