A novel biomedical acquisition system which can adjust its resolution by the condition of signal is presented in this paper. The resolution of sigma-delta modulator in proposed system can be automatically varied by switching its architecture and sampling rate that can acquire accurate date without additional power consumption. The modulator in this system reaches specifications from 10-bit to 16-bit resolution and consumes power from 48microW to 360microW. In the electrocardiogram and electroculogram acquisition by proposed system, it can save more than 40% and 73% power consumption comparing with the conventional acquisition system.