Data exchange has been significantly encouraged by the development of communication technology and the wide use of social media over the Internet. Therefore, it is important to hide the data transmitted, especially the data that requires a person's signature. Where the signature is an increasingly needed item that is used in our daily life to achieve some paperbased authentication in departments, the individual himself needs the signature. Cryptography and steganography are commonly considered to be the most important data hiding methodologies. Steganography is used to hide the secret message in the carrier media, such as text, audio, video, and image files, without the carrier media being distorted, and cryptography is used to conceal the purpose of the secret message. A hybrid data hiding (image steganography) and encryption technique is implemented in this research on the time domain. The secret handwritten signature image is first encrypted using the public key algorithm (RSA) in the proposed technique, then randomly inserted using Embedding data process to be concealed in one of the last three bits of that pixel(1 st Least Significant Bit, 2 nd LSB, and 3 rd LSB) based on mathematical randomized formula over all pixels of the carrier media (image). It is assumed that the process of randomization will increase the protection provided by the technique. The suggested technique is implemented on gray level cover images. As a consequence of the random scattering of bits and using encryption, it is noted that the proposed technique achieves enhanced data hiding results in terms of performance, protection, and imperceptibility properties and the histogram of the proposed technique is better and provides more protection and security than the ordinary sequential Least Significant Bit (LSB).