Continuous valued number system is a novel number system which can be employed for developing analog signal processing units. It is a continuous number system which is represented by a set of continuous digits. One of the main features of this system is that digits share information, and have a digit-level redundancy. This redundancy is used to protect the digits against environment imperfections when implemented by analog circuits. In this paper, integrity of this number system in representing real values is explored. The study is required to show the effect of implementation imperfections which is an indicative of its feasibility. Effects of possible errors and error threshold for implementing this system are studied in this paper. An error recovery method is proposed, which enhances this number system representation. An efficient error recovery method extends the application of this number system in high density memory and storage devices for hardware implementations of neural networks.