Binaural hearing-aids are under intensive study nowadays. The information exchange across both ears provides an opportunity to perform the blind source separation to enhance the signal SNR. This study combines the conventional InfomaxICA with our proposed novel algorithms: binaural delay compensation, minimum-interference initial de-mixing guess and low power design concept, for a real-time binaural hearing-aid application. Simulations demonstrate our algorithms provide 20.5 to 30.6 dB gain at 0 to 35 points delay at SNR= 0 dB in our assumed scenario. Therefore, our algorithms are robust under various practical wearing conditions.