The main application for the proposed Low-power Cross-Correlator ASIC is to process the GeoSTAR instrument's microwave sounder signals. The proposed ASIC will cross-correlate the signals of 2X125 receivers located on two arms of the Y shaped antenna. A total of three ASICs will be employed to implement the complete cross-correlation function required for the instrument. Novel cross-correlator's architecture will permit to process these signals at greatly reduced power consumption compared to FPGAs or specialized cross-correlator ASICs. The proposed cross-correlator ASIC can also find application in signal processing required for radio telescopes such as the SKA that may employ more than 2000 receivers. The cross-correlators installed on such telescopes are projected to consume tens of kilowatts of power. The ASIC proposed by us offers the reduction of power consumption by at least an order. The proposed ASIC's core will be available as an IP ready for implementation in other correlator ASICs employed in space born and Earth based NASA's instruments. High energy efficiency at high data processing speed, radiation hardness and wide operating temperature range of the proposed Cross-Correlator ASIC makes it applicable in many space based commercial and military systems such as radiometry, interferometry, polarimetry and spectrometry employed for remote sensing applications. Cross correlators are also required for neural implants in medicine, for image sensor signal processing in military and homeland security and for synthetic aperture radars in both military and civil aviation. The proposed ASIC can be included into the signal processing path of artificial eyes, ears or other senses that are employing signal processing based on artificial neural networks. In order to ensure the highest outcome of the developed technology, the proposed ASIC's core will also be offered as an IP block which will be licensed to interested parties for variety of applications that require fast and high energy efficient parallel signal processing.