In the last decade, we have witnessed a transformation in the way of communication. The process of transformation is still ongoing and advancing every day, and includes the ubiquitous Internet, mobile communications and video communications. Data compression is a technology possibility for each of the aforementioned aspects of the multimedia revolution. Without data compression, it would not be practical to publish images, video or audio format to the web. Data compression is also responsible for the emergence of digital television as well as for simple communication via mobile devices. Transferring and storing large amounts of data is a serious problem. In digital systems, the number of bits per sample and the transmission speed are limited, and on the other hand, the transmission speed limits the amount of data that can be transmitted in a unit of time. Considering the above, it is necessary to perform compression to transfer and store the image. By definition, compression is the process of reducing the required physical space for data storage through the use of certain data storage methods. There are two types of compression: lossy compression and lossless compression. With the development of technology, digital photography (image) has also developed, as well as different ways of storing it. In order to store the image on the computer, various methods of converting the image into binary numbers are used, so it can be said that there are different formats for recording the image. The most famous image storage formats are: JPEG, PNG, GIF, TIFF, BMP, and the most used are JPEG and GIF.