The proposed ASIC is intended for processing the GeoSTAR instrument's microwave sounder signals. The 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 for the complete cross-correlation function required for the instrument. The proposed cross-correlator ASIC can also find application in signal processing required for radio telescopes that employ more than 2,000 receivers, such as the SKA. The cross-correlators installed on such telescopes consume tens of kilowatts of power. The novel ASIC offers a 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 borne and Earth-based NASA instruments. High energy efficiency at high data processing speed and radiation hardness 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, image sensor signal processing in military and homeland security, and 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.