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The rate of development in today's IT industry is unprecedented. Information is being stored and transformed at a faster and faster rate. Therefore, the importance of protecting sensitive data is growing. Everyone is concerned about preventing hackers from gaining access to their personal data. Several algorithms from the fields of classical cryptography and steganography can be used to conceal data. DNA cryptography is an emerging field that aims to protect information kept in DNA. DNA cryptography takes use of DNA's innate computing power at the molecular level. In this paper, we are exploring diverse cryptographic algorithms and methods that are used to secure the stored data in DNA. The paper represents the critical review that includes merits and demerits of the diverse cryptographic algorithms for securing the data in DNA.