In this paper, we have proposed a demodulation circuit of radio data receiver system and calculated the error probability of the digital transmitted signal corrupted under noise environment. And we have evaluated the error performance of the proposed system. The designed demodulation circuits have been implemented by using the general random logic and PLL circuits, which can be possible for the integrated circuit design of the radio data receiver system. In addition calculation of bit error rate in recovered digital signal has been accomplished ans we have confirmed that the proposed system hsa the equivalent performance with already existing ones.